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If log(a)3 = 2 and log(b)8= 3, then log(...

If `log_(a)3 = 2` and `log_(b)8= 3`, then `log_(a)(b)` is-

A

`log_(3)2`

B

`log_(2)3`

C

`log_(3)4`

D

`log_(4)3`

Text Solution

AI Generated Solution

To solve the problem, we need to find \( \log_a(b) \) given that \( \log_a(3) = 2 \) and \( \log_b(8) = 3 \). ### Step-by-Step Solution: 1. **Convert the logarithmic equations to exponential form**: - From \( \log_a(3) = 2 \), we can write: \[ a^2 = 3 \quad \text{(Equation 1)} ...
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