Question

find the value of x.​

Answer 1

Solution:

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(2/5) ^-3×(2/5) ^15=(2/5) ^2+3x

(2/5) ^-3+15=(2/5) ^2+3x

(2/5) ^12=(2/5) ^2+3x

12=2+3x

12-2=3x

10=3x

x=10/3

Answer 2

Answer:

$x = \frac{10}{3}$

Step-by-step explanation:

${ (\frac{2}{3}) }^{ - 3} \times {( \frac{2}{5}) }^{15} = {( \frac{2}{5}) }^{2 + 3x}$

${ (\frac{2}{5} )}^{15 - 3} = { (\frac{2}{5} )}^{2 + 3x}$

${ (\frac{2}{5} )}^{12} = { (\frac{2}{5} )}^{2 + 3x}$

bases are same and equal notation is there then we will have

$2 + 3x = 12$

$3x = 12 - 2$

$x = \frac{10}{3}$

i hope it will help u✌✌