Question 159050
{{{2*10^(-5) = (1 + .23x)^(-3)}}}
multiply both sides by this expression:
{{{(10^5)*(1 + .23x)^3}}}
{{{(2*10^(-5))*(10^5)*(1 + .23x)^3) = ((1 + .23x)^(-3))*(1 + .23x)^3)*(10^5)}}}
This reduces to
{{{2*(1 + .23x)^3 = 10^5}}}
{{{(1 + .23x)^3 = .5*10^5}}}
Take the cube root of both sides
{{{1 + .23x = (50000)^(1/3)}}}
{{{1 + .23x = 36.84}}}
{{{.23x = 36.84 - 1}}}
{{{.23x = 35.84}}}
{{{x = 155.83}}} answer
Hope I got it right