Question

11. If 3/4^6 x 16/9^5 =4/3^x+2
then the value of x is

Answer 1

Answer:

$( { \frac{3}{4} )}^{6} \times ( { \frac{16}{9}) }^{5} = ( { \frac{4}{3}) }^{x + 2} \\ \\ ( { \frac{4}{3} )}^{ - 6} \times ( { \frac{4}{3}) }^{10} = ( { \frac{4}{3}) }^{x + 2} \\ ( { \frac{4}{3} )}^{ - 6 + 10} \ = ( { \frac{4}{3}) }^{x + 2} \\ \\ 4 = x + 2 \\ x = 2$