Question 1011871
Choose a different base that you would like.


{{{log(4,8)=log(10,8)/log(10,4)}}}----Using the Change of Base Formula


{{{0.90308/0.60205}}}
{{{highlight(1.5)}}}--------This suggests maybe Change of Base was not needed.




Try starting with the exponential form of your originally given equation:
{{{4^x=8}}}
{{{(2^2)^x=2^3}}}
{{{2^(2x)=2^3}}}
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Do you see these are the same base raised to powers, and that if set as equal, their exponents are equal?
{{{2x=3}}}
{{{2x(1/2)=3(1/2)}}}
{{{highlight(x=3/2)}}}