Question

Find $x$, if $(4^{-1}+8^{-1})\times (3^{-1}-9^{-1})÷\frac{1}{12}=5^x$

Answer 1

$(\frac{1}{4}+\frac{1}{8})\times (\frac{1}{3}-\frac{1}{9})\times \frac{12}{1}=5^x$

$\Rightarrow \left(\frac{2+1}{8}\right)\times \left(\frac{3-1}{9}\right)\times \frac{12}{1}=x^x$

$\Rightarrow \frac{3}{8}\times \frac{2}{9}\times \frac{12}{1}=5^x$

$\Rightarrow 1=5^x$

$\Rightarrow 5^0=5^x$

$\Rightarrow x=0$