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Question
Solve the following equation for x:
`2^(5x+3)=8^(x+3)`
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Solution
`2^(5x+3)=8^(x+3)`
`rArr2^(5x+3)=(2^3)^(x+3)`
`rArr2^(5x+3)=2^(3x+9)`
⇒ 5x + 3 = 3x + 9
⇒ 5x - 3x = 9 - 3
⇒ 2x = 6
⇒ x = 6/2
⇒ x = 3
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