Question 966301

log base 4 of 2048 =
How can i solve this problem?
<pre>{{{log (4, 2048) = x}}} ----- Logarithmic form
{{{4^x = 2048}}} -------- Exponential form
{{{4^x = 2^11}}}
{{{(2^2)^x = 2^11}}}
{{{2^(2x) = 2^11}}}
2x = 11 ------- Bases are equal and so are their exponents
{{{x = 11/2}}}, or {{{highlight_green(5&1/2)}}}