If $\log _6 16=k$, then $\log _{18} 24=$

JEE MATHEMATICS MCQ: FUNCTIONS

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Application +4 | -1

\log _6 16=k

, then

\log _{18} 24=

View answer and explanation

Correct option: B

\frac{2(k+2)}{8-k}

Option B (

\frac{{2(k+2)}}{{8-k}}

) is correct because it follows from converting the logarithms to base 2 and then expressing

\log_{{18}} 24

in terms of k.

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