Find the value of x if 125/8^5×125/8^x=5/2^16
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Verified answer
[tex] { ({ \frac{5}{2} }^{3}) }^{5} \times { \frac{5}{3} }^{3x} = { \frac{5}{2} }^{16} [/tex]
[tex] { \frac{5}{3} }^{15 + 3x} = { \frac{5}{3} }^{16} [/tex]
comparing powers
[tex]15 + 3x = 16[/tex]
[tex]3x = 1[/tex]
[tex]x = \frac{1}{3} [/tex]
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