Question

Find the value of x if 125/8^5×125/8^x=5/2^16​

Answer 1

${ ({ \frac{5}{2} }^{3}) }^{5} \times { \frac{5}{3} }^{3x} = { \frac{5}{2} }^{16}$

${ \frac{5}{3} }^{15 + 3x} = { \frac{5}{3} }^{16}$

comparing powers

$15 + 3x = 16$

$3x = 1$

$x = \frac{1}{3}$

Answer 2

Answer:

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