Question 549633
we have f(x)=log(8x)
which is just y=log(8x)

To find the inverse just switch x and y 
{{{x=log(8y)}}}
and solve for y 

To get rid of the log we must do the opposite operation which is 10^x
{{{10^x=10^(log(8y))}}}
{{{10^x=(8y)}}}
{{{(10^x)/8=(8y)/8}}}
{{{(10^x)/8=y}}}

So {{{y=(10^x)/8}}} is the inverse function.  

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Hopefully this helps! Let me know if you are still unsure:) 
Romans 5:8