Question 1102750
{{{9^(x-1) = (1/3)^(2x)}}}
{{{(3^2)^(x-1)=(3^(-1))^(2x)}}}
{{{3^(2(x-1))=3^(-2x)}}}
{{{2x-2=-2x}}}
{{{4x=2}}}
{{{x=1/2}}}
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{{{ln(x+2)=3}}}
{{{x+2=e^3}}}
{{{x=e^3-2}}}
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{{{log(27,(x))=1-log(27,(x-0.4))}}}
{{{log(27,(x))+log(27,(x-0.4))=1}}}
{{{log(27,(x(x-0.4)))=1}}}
{{{x(x-0.4)=27}}}
{{{x^2-0.4x=27}}}
{{{x^2-0.4x+0.04=27.04}}}
{{{(x-0.2)^2=0 +- 5.2}}}
{{{x=0.2 +- 5.2}}}
x must be positive so,
{{{x=5.4}}}
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{{{log(b,(6))=1/2}}}
{{{log((6))/log((b))=1/2}}}
{{{log((b))=log((6))/(1/2)}}}
{{{log((b))=2*log((6))}}}
{{{log((b))=log((36))}}}
{{{b=36}}}