Mathematics
Solve the following equation:
log(3x + 2) + log(3x - 2) = 5log 2
Logarithms
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Answer
Given,
⇒ log(3x + 2) + log(3x - 2) = 5log 2
⇒ log(3x + 2)(3x - 2) = log 25
⇒ log(9x2 - 4) = log 32
⇒ 9x2 - 4 = 32
⇒ 9x2 = 36
⇒ x2 = 4
⇒ x = 2.
Hence, x = 2.
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