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If log(7) 2 = m, then find log(49) 28 i...

If `log_(7) 2 = m`, then find ` log_(49) 28` in terms of m.

Text Solution

Verified by Experts

The correct Answer is:
`(1+2 m)/2`
` log_(49) 28 = log_((7^(2)))(2^(2) xx 7)`
` = 1/2 log_(7) (2^(2) xx7)`
` 1/2 [log_(7) 2^(2) + log_(7) 7]`
` = 1/2[2 log_(7) 2+1]`
` (1+2m)/2`
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