Question

find the value of x root (4/7)^2x-1=16/49​

Answer 1

Answer:

$\frac{3}{2}$

Step-by-step explanation:

Given expression:

                     $(\frac{4}{7}) ^{2x - 1}$   = $\frac{16}{49}$

  Solve for x;

Solution:

    16  = 4²

   49 = 7²

  So;

           $(\frac{4}{7}) ^{2x - 1}$  = $\frac{4^{2} }{7^{2} }$

          $(\frac{4}{7}) ^{2x - 1}$   = $(\frac{4}{7} )^{2}$

     Now;

              2x - 1 = 2

              2x = 3

                x  = $\frac{3}{2}$