Question 959166

4^(1-9x)=3^x
Please help me find the value of X
<pre>{{{4^(1 - 9x) = 3^x}}}
{{{log 4^(1 - 9x) = log 3^x}}} -------- Taking log of both sides
1 - 9x * log 4 = x log 3
{{{(1 - 9x)/x = log 3/log 4}}}
{{{(1 - 9x)/x = .792481}}}
.792481x = 1 – 9x ------- Cross-multiplying
.792481x + 9x = 1
9.792481x = 1
{{{x = 1/9.792481}}}, or {{{highlight_green(x = 0.102119 )}}}