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Given that `log_b(a^2) = 3` , the value of `log_a(b^2)` is; (a) 5/3 (b) 3/4 (c) 2/3 (d)...
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`log_b(a^2) = 3`
Remove the logarithm will give us;
`a^2 = b^3`
`b = (a^2)^(1/3)`
`b^2 = a^(4/3)`
Take log on both sides using a as base.
`log_a(b^2) = log_a(a^(4/3))`
`log_a(b^2) = 4/3log_a(a)`
`log_a(b^2) = 4/3`
So the correct answer is at option d)
Posted by jeew-m on September 23, 2013 at 10:35 AM (Answer #1)
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