Solve the following equation for x:
log (x2 - 21) = 2
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Given,
⇒ log (x2 - 21) = 2
⇒ x2 - 21 = 102
⇒ x2 = 100 + 21
⇒ x2 = 121
⇒ x = 11, -11.
Hence, x = 11, -11.
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log4 32 = x - 4
log7 (2x2 - 1) = 2
log6 (x - 2)(x + 3) = 1
log6 (x - 2) + log6 (x + 3) = 1