Question 191661
{{{log(4,(8))}}} Start with the given expression



{{{y=log(4,(8))}}} Set the given expression equal to some variable (I chose "y")



{{{4^y=8}}} Rewrite the logarithmic equation into exponential form



{{{(2^2)^y=2^3}}} Rewrite 4 as {{{2^2}}} and 8 as {{{2^3}}}



{{{2^(2y)=2^3}}} Multiply the exponents.



{{{2y=3}}} Since the bases are equal, this means that the exponents are equal.



{{{y=3/2}}} Divide both sides by 2 to isolate "y"



So the solution is {{{y=3/2}}} which means that {{{log(4,(8))=3/2}}} (since we let {{{y=log(4,(8))}}})