Question 158979
2^-5 = (1 + 0.23x)^-3, (working eqn)
Multiply both eqns by {{{-1/3}}} to isolate variable with {{{x}}}:
{{{(2^-5)^(-1/3)=((1+0.23x)^-3)^(-1/3)}}}
{{{2^(5/3)=(1+0.23x)^cross(-3)^(-1/cross(3))}}}
{{{3.1748=1+0.23x}}}
{{{3.1748-1=0.23x}}}
{{{2.1748/0.23=cross(0.23)x/cross(0.23)}}}
{{{x=9.45565}}}, ANSWER
check by going back working eqn:
{{{2^-5=(1+0.23(9.45565))^-3}}}
{{{1/2^5=(1+2.1748)^-3}}}
{{{1/2^5=3.1748^-3}}}
{{{1/2^5=1/3.1748^3}}}
{{{1/32>=1/31.9999}}}
{{{0.03125=0.03125}}}
Thank you,
Jojo