Question 984057
{{{8^(log(2,5))}}}


{{{(2^3)^log(2,5)}}}


{{{2^(3*log(2,5))}}}


{{{2^(log(2,(5^3)))}}}-------the display might not be good here; that argument is five to the three power, inside the logarithm input location.


You should understand that exponential function and logarithm function  (for equal bases) are inverses; that they undo each other.  That is what happens here.


You generally have {{{b^log(b,v)=v}}}.  According to this property, your last step is


{{{highlight(5^3)}}}


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