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If log(b) n = 2 and log(n) 2b = 2, th...

If ` log_(b) n = 2 and log_(n) 2b = 2`, then find the value of b.

Text Solution

Verified by Experts

The correct Answer is:
`2^(1//3)`
Eliminating n, we have ` log_(b) 2b = 4`
` or 2b = b^(4)`
` or b^(3) = 2`
` rArr b = 2^(1//3)`
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