Logarithmic evaluation of a root

Calculate to six decimal places the value of $\sqrt[3]{{\left(\frac{294\times 125}{42\times 32}\right)}^2}$, given $\log 2=0.3010300$, $\log 3=0.4771213$, $\log 7=0.8450980$, and $\log 9076.226=3.9579053$.

H. S. Hall & S. R. Knight, Higher Algebra (1891) · Ch. XVI. Logarithms, Examples XVI.b, No. 19