Question

Find the value of x if
((-5/2)^3x+2) x (-2/5)^-11 = (-5/2)^8x-2

Answer 1

$<b >Hey here is your answer$

$( { \frac{ - 5}{2}) }^{(3x + 2)} \times ( { \frac{ - 2}{5} )}^{( - 11)} = { (\frac{ - 5}{2}) }^{(8x - 2)} \\ \\ ( { \frac{ - 5}{2}) }^{(3x + 2)} \times ( { \frac{ - 5}{ 2} )}^{( 11)} = { (\frac{ - 5}{2}) }^{(8x - 2)}$

All these have same base so,

$3x + 2 + 11 = 8x - 2 \\ \\ 3x + 13 = 8x - 2 \\ \\ 5x = 15 \\ \\ x = 3$

So x = 3 .

Hope this helps you