Use the Laws of logarithms to rewrite the expression in an e

Use the Laws of logarithms to rewrite the expression in an equivalent form.
log(8^13)=

Solution

log( 8^13) =y

As per log to exponential property:

log_bx = y

b^y = x.

Here in our case b=10 ;x = 8^13

So, log( 8^13) =y

13log(8) =y ( Using log property log(a^x) = xloga )

log(8) = y/13

8 = 10^(y/13)