Question

Hello.

Find the value of x with steps.

The answer is coming -11, but I don't know how so show your answer with steps explaining it. Thanks​

Answer 1

Answer:

To be honest, solving this kind of problem need more points to reward. only 20points too less. please rise more points in your next question. joke apart

thanks, for 20 points

Answer 2

Answer:

$\large\bold{((( \frac{2}{5} )^{2} )^{4 } )^{(x + 2)} =(( (\frac{2}{5} )^{ - 2})^{(x - 1)} )^{ - 3} }$

$\large \bold{ \implies \: ( \frac{2}{5} )^{2 \times 4 \times (x + 2)} = (\frac{2}{5} )^{ - 2 \times (x - 1) \times ( - 3)}}$

$\large \bold{ \implies \: {2 \times 4 \times (x + 2)} = { - 2 \times (x - 1) \times ( - 3)}}$

$\large \bold{ \implies \: {8 (x + 2)} = { 6 (x - 1) }}$

$\large \bold{ \implies \: {8 x + 16} = { 6x -6}}$

$\large \bold{ \implies \: {8 x - 6x} = { - 16 -6}}$

$\large \bold{ \implies \: {2x} = { - 22}}$

$\large \bold{ \implies \: \color{blue} \underbrace{ \boxed {\bold{x = - 11}}}}$