Question

$$3 + \log _ { ( m + 1 ) } ^ { 3 } = \log _ { 3 } ( m + 1 )$$

Answer

M=(log(3,m+1)-log(m+1))/3

Solution


Regroup terms.
\[3M+\log{(m+1)}=\log_{3}{(m+1)}\]
Subtract \(\log{(m+1)}\) from both sides.
\[3M=\log_{3}{(m+1)}-\log{(m+1)}\]
Divide both sides by \(3\).
\[M=\frac{\log_{3}{(m+1)}-\log{(m+1)}}{3}\]