The expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
Given that the expression is log 5-k log 2.
We are required to find the expression as a single logarithm.
Division of logarithm says that log (m/n)=log m-log n.
The expression is log 5-k log 2.
log 5-k log 2=log 5-log [tex]2^{k}[/tex]
(We have to write the power of 2 which is k because it is in front of 2)
=log (5/[tex]2^{k}[/tex])
Hence the expression log 5-k log 2 can be expressed as log (5/[tex]2^{k}[/tex]) in the form of single logarithm.
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