Respuesta :

Edufirst
First, I will write the expression clearly:

[tex]r= \sqrt[3]{ (A^{2}B)/C } [/tex]

[tex]r= (A^{2}B/C)^{1/3}[/tex]

Next, use these logarithm properties

log (x^n) = nlog(x)

log(xy/z) = log x + log y - log z

Then,

log r = log {(A^2)B/C}^(1/3) = (1/3) [ 2logA + logB - log C] 

 

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