Question 107586
{{{8^x = 4}}}
The key is to express 8 and 4 as powers of 2
{{{8 = 2^3}}}
{{{4 = 2^2}}}
{{{8^x = (2^3)^x}}}
{{{(2^3)^x = 2^(3x)}}}
{{{2^(3x) = 2^2}}}
The bases are the same, so the exponents must be equal
{{{3x = 2}}}
{{{x = 2/3}}} answer
This is easy to verify with a calculator