Question

(3/4)power 3 (4/3) power -7 =(3/4) power 2x

Answer 1

The value of x is 5.

Step-by-step explanation:

The expression is:

$(\frac{3}{4})^{3}\times (\frac{4}{3})^{-7}=(\frac{3}{4})^{2x}$

Solve for x as follows:

$(\frac{3}{4})^{3}\times (\frac{4}{3})^{-7}=(\frac{3}{4})^{2x}$

 $(\frac{3}{4})^{3}\times (\frac{3}{4})^{7}=(\frac{3}{4})^{2x}$

        $(\frac{3}{4})^{3+7}=(\frac{3}{4})^{2x}$

          $(\frac{3}{4})^{10}=(\frac{3}{4})^{2x}$

               $10=2x$

                $x=5$

Thus, the value of x is 5.