Lemma

Algebra · Chapter 13 of 20

Exponentials & logarithms

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Evaluate a logarithmEasy · 1,026 variations

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82
#TitleDifficultySourceTags
759A logarithmEasyLemmaExponentials & logarithms
760Match the basesEasyLemmaExponentials & logarithms
762Inverse functions cancelEasyLemmaExponentials & logarithms
1133Rationalize the denominator with three termsEasyHall & Knightrationalizing the denominatorsurds
1141Rationalising Factor for a Cube Root BinomialEasyHall & Knightsurdsdifference of cubes
1149Square Root of Surd ExpressionEasyHall & Knightsurdssquare root
1150Square Root of Surd ExpressionEasyHall & Knightsurdssquare root
1151Square Root of Surd ExpressionEasyHall & Knightsurdssquare root
1155Cube Root of a SurdEasyHall & Knightsurdscube roots
1156Cube Root of a SurdEasyHall & Knightsurdscube roots
1157Cube Root of a SurdEasyHall & Knightsurdscube roots
1161Square root of a binomial surdEasyHall & Knightsurdssquare root
1165Evaluate expression with surd valuesEasyHall & Knightrationalizationalgebraic evaluation
1166Evaluate symmetric rational expressionEasyHall & Knightrationalizationalgebraic evaluation
1169Difference of Surd PowersEasyHall & KnightSurdsSquare roots+1
1261Exponential Equation in Base 3EasyHall & Knightexponential equationsquadratic form
1262Reciprocal Exponential EquationEasyHall & Knightexponential equationsreciprocals
1263Exponential equation reducible to quadraticEasyHall & Knightexponential equationssubstitution
1265Square root exponential equationEasyHall & Knightexponential equationsreciprocal terms
1294Exponential EquationEasyHall & KnightExponentsExponential equations
1473Approximation Neglecting Higher PowersEasyHall & KnightBinomial TheoremLinear Approximation
1557Logarithm of a power of radicalsEasyHall & Knightlogarithmsproperties of logarithms+1
1558Logarithm of a product of radicalsEasyHall & Knightlogarithmsproperties of logarithms+1
1559Logarithm of a negative power radicalEasyHall & Knightlogarithmsproperties of logarithms
1562Logarithm of an algebraic expressionEasyHall & Knightlogarithm propertiesexponent rules
1568Exponential equation with basesEasyHall & Knightlogarithmsexponential equations
1569Exponential equation quotientsEasyHall & Knightlogarithmsexponential equations
1571Logarithmic systemEasyHall & Knightlogarithm propertiessystems of equations
1573Logarithm of 64EasyHall & Knightlogarithmsproperties of logarithms
1574Logarithm of 84EasyHall & Knightlogarithmsproperties of logarithms
1575Logarithm of a decimalEasyHall & KnightLogarithmsCommon logarithms
1576Logarithm of a mixed decimalEasyHall & KnightLogarithmsCommon logarithms
1577Logarithm of a mixed numberEasyHall & KnightLogarithmsCommon logarithms
1578Logarithm of a cube rootEasyHall & KnightLogarithmsRadicals
1579Logarithm of a square root fractionEasyHall & KnightLogarithmsRadicals
1580Logarithm of a rootEasyHall & KnightLogarithmsProperties of logarithms
1581Seventh root using logarithmsEasyHall & KnightLogarithmsRoots
1582Eleventh root of a powerEasyHall & KnightLogarithmsPowers and roots
1584Logarithm of a fractional radical expressionEasyHall & KnightLogarithmsRadicals
1588Number of digits via logarithmsEasyHall & Knightlogarithmscharacteristic+1
1591Exponential equation with logarithmsEasyHall & Knightlogarithmsexponential equations
1592Exponential equation base fiveEasyHall & Knightlogarithmsexponential equations
1593Exponential equation with two basesEasyHall & Knightlogarithmsexponential equations
1598Logarithm with a Different BaseEasyHall & Knightlogarithmschange of base
1620Compound interest over fifty yearsEasyHall & Knightcompound interestlogarithms
1622Doubling time at compound interestEasyHall & Knightcompound interestlogarithms
1623Present value of a sumEasyHall & Knightpresent valuecompound interest
1624Time to grow to a targetEasyHall & Knightcompound interestlogarithms
1826Logarithm base root twoEasyHall & Knightlogarithmsbase conversion
1827Logarithm base two root threeEasyHall & Knightlogarithmsexponents
1828Logarithm of 125 to base 5 root 5EasyHall & Knightlogarithmspowers of numbers
1829Logarithm of 0.25 to base 4EasyHall & Knightlogarithmsnegative exponents
1831Logarithm of repeating decimal base 9EasyHall & Knightlogarithmsrepeating decimals
1832Logarithm of decimal base 2EasyHall & Knightlogarithmsdecimals
1836Logarithm of root term to base aEasyHall & Knightlogarithmsalgebraic exponents
1837Logarithm of inverse root term to base aEasyHall & Knightlogarithmsnegative exponents
1838Logarithm of cube root of negative power to base aEasyHall & Knightlogarithmsalgebraic exponents
1839Logarithm base 8 of 128EasyHall & Knightlogarithmsexponents
1840Logarithm of a fractionEasyHall & Knightlogarithmsnegative exponents
1841Logarithm base 27EasyHall & Knightlogarithmsfractional bases
1842Logarithm base 343EasyHall & Knightlogarithmspowers of 7
1843Characteristic of 21735EasyHall & Knightlogarithmscharacteristic
1844Characteristic of 23.8EasyHall & Knightlogarithmscharacteristic
1845Characteristic of 350EasyHall & Knightlogarithmscharacteristic
1846Characteristic of .035EasyHall & Knightlogarithmscharacteristic
1847Characteristic of .2EasyHall & Knightlogarithmscharacteristic
1848Characteristic of .87EasyHall & Knightlogarithmscharacteristic
1849Characteristic of .875EasyHall & Knightlogarithmscharacteristic
1850Logarithm of 7.623EasyHall & Knightlogarithmsmantissa+1
1851Logarithm of 762.3EasyHall & Knightlogarithmsmantissa+1
1852Logarithm of .007623EasyHall & Knightlogarithmsmantissa+1
1853Logarithm of 762300EasyHall & Knightlogarithmsmantissa+1
1854Logarithm of .000007623EasyHall & Knightlogarithmsmantissa+1
1855Digits in integer part for 4.30103EasyHall & Knightlogarithmscharacteristic+1
1856Digits in integer part for 1.4771213EasyHall & Knightlogarithmscharacteristic+1
1857Digits in integer part for 3.69897EasyHall & Knightlogarithmscharacteristic+1
1858Digits in integer part for .56515EasyHall & Knightlogarithmscharacteristic+1
1859Position of first significant figure for \bar{2}.7781513EasyHall & Knightlogarithmscharacteristic+1
1860Position of first significant figure for .6910815EasyHall & Knightlogarithmscharacteristic+1
1861Position of first significant figure for \bar{5}.4871384EasyHall & Knightlogarithmscharacteristic+1
1862Logarithm Base Change 1EasyHall & Knightlogarithmsradicals+1
1863Logarithm Base Change 2EasyHall & Knightlogarithmsradicals+1

From open sources

392

Complete problems only, with worked solutions first. Show everything

#TitleDifficultySource
11129A certain kind of wild mushroom has either spots or gills, but…EasyGSM8K
12897John takes a 20-foot log and cuts it in halfEasyGSM8K
13733David finished his homework in 60 minutesEasyGSM8K
15393Marcy can make 3 spears out of a sapling and 9 spears…EasyGSM8K
16864A lumberjack is chopping down trees so he can sell firewoodEasyGSM8K
102366Exponential Functions · Example 1EasyOpenStax
102373Identifying Exponential FunctionsEasyOpenStax
102374Exponential Functions · Try It 1EasyOpenStax
102375Evaluating Exponential FunctionsEasyOpenStax
102377Evaluating a Real-World Exponential ModelEasyOpenStax
102378Exponential Functions · Try It 3EasyOpenStax
102380Exponential Functions · Try It 4EasyOpenStax
102383Using a Graphing Calculator to Find an Exponential FunctionEasyOpenStax
102385Calculating Compound InterestEasyOpenStax
102387Using the Compound Interest Formula to Solve for the PrincipalEasyOpenStax
102389Using a Calculator to Find Powers of eEasyOpenStax
102391Calculating Continuous GrowthEasyOpenStax
102393Calculating Continuous DecayEasyOpenStax
102394Exponential Functions · Try It 11EasyOpenStax
102395Exponential Functions · Exercise 10EasyOpenStax
102397Exponential Functions · Exercise 12EasyOpenStax
102471Approximating the Solution of an Exponential EquationEasyOpenStax
102477Graphs of Exponential Functions · Example 9EasyOpenStax
102478Graphs of Exponential Functions · Try It 6EasyOpenStax
102479Graphs of Exponential Functions · Exercise 5EasyOpenStax
102523Logarithmic Functions · Example 1EasyOpenStax
102524Logarithmic Functions · Example 2EasyOpenStax
102525Logarithmic Functions · Example 3EasyOpenStax
102528Logarithmic Functions · Example 4EasyOpenStax
102531Converting from Logarithmic Form to Exponential FormEasyOpenStax
102532Logarithmic Functions · Try It 1EasyOpenStax
102533Converting from Exponential Form to Logarithmic FormEasyOpenStax
102534Logarithmic Functions · Try It 2EasyOpenStax
102535Solving Logarithms MentallyEasyOpenStax
102536Logarithmic Functions · Try It 3EasyOpenStax
102537Evaluating the Logarithm of a ReciprocalEasyOpenStax
102539Finding the Value of a Common Logarithm MentallyEasyOpenStax
102541Finding the Value of a Common Logarithm Using a CalculatorEasyOpenStax
102543Rewriting and Solving a Real-World Exponential ModelEasyOpenStax
102545Evaluating a Natural Logarithm Using a CalculatorEasyOpenStax
102546Logarithmic Functions · Try It 8EasyOpenStax
102547Logarithmic Functions · Exercise 6EasyOpenStax
102549Logarithmic Functions · Exercise 8EasyOpenStax
102551Logarithmic Functions · Exercise 10EasyOpenStax
102621Identifying the Domain of a Logarithmic ShiftEasyOpenStax
102623Identifying the Domain of a Logarithmic Shift and ReflectionEasyOpenStax
102637Approximating the Solution of a Logarithmic EquationEasyOpenStax
102641Graphs of Logarithmic Functions · Exercise 13EasyOpenStax
102643Graphs of Logarithmic Functions · Exercise 15EasyOpenStax
102645Graphs of Logarithmic Functions · Exercise 17EasyOpenStax
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