#1591 · Algebra · Exponentials & logarithms

Exponential equation with logarithms

Solve the equation $3^{x - 2} = 5$ , given $lo g 2 = 0.3010300$ , $lo g 3 = 0.4771213$ , and $lo g 7 = 0.8450980$ . Give your answer to two decimal places.

~5 minAnswer checked instantlylogarithmsexponential equations

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVI. Logarithms, Examples XVI.b, No. 24

Stuck? A gentle nudge

Something off?

Workspace

Your answer

Loading the math keyboard…

Type naturally — sqrt, pi, / and ^ become notation. Any equivalent form is accepted. Press Enter to check.

Checked against the answer in H. S. Hall & S. R. Knight, Higher Algebra (1891).