Question 153726
{{{log(8,(8^5))}}} Start with the given expression



{{{5*log(8,(8))}}} Rewrite the expression using the identity {{{log(b,(x^y))=y*log(b,(x))}}}. In other words, simply pull down the exponent and place it in front of the log.



{{{5*1}}} Evaluate the log base 8 of 8 to get 1. Note: {{{log(b,(b))=1}}} where {{{b>0}}}. 



{{{5}}} Multiply.



So {{{log(8,(8^5))=5}}}