Question

solve this with full process pls
find value of x​

Answer 1

$\large \green{ \fcolorbox{grey}{white}{ ☑ \: \textbf{Verified \: answer}}}$

$\bf { \frac{3}{4} }^{4} \times { \frac{4}{3} }^{ - 5} = { \frac{4}{3} }^{2x - 1} \\ \\ \bf { \frac{4}{3} }^{ - 4} \times { \frac{4}{3} }^{ - 5} = { \frac{4}{3} }^{2x - 1} \\ \\ \bf { \frac{4}{3} }^{ - 4 + ( - 5)} = { \frac{4}{3} }^{2x - 1} \\ \\ \bf { \frac{4}{3} }^{ - 9} = { \frac{4}{3} }^{2x - 1} \\ \\ \bf2x - 1 = - 9 \\ \\ \bf2x = - 8 \\ \\ \boxed{ \pmb{ \: x = - 4}}$

Answer 2

(3/4)^4 * (3/4)^5 = (4/3)^2x-1

(3/4)^9 = (4/3)^2x-1

exponents:

9 = 2x-1

2x = 9+1

x = 10/2

x = 5

therefore, (3/4)^9 = (4/3)2*5-1

(3/4)^9 = (4/3)^10-1

(3/4)^9 = (4/3)^9

(3/4)^9 = (3/4)^-9

therefore the value of x = 5