Question

Solve log11 (y + 8) + log11 4 = log11 60.

Answer 1

We want to solve

`log_(11)(y+8)+log_(11)4=log_(11)60`

Collecting like terms we have

`\begin{gathered} log_(11)(y+8)=log_(11)60-\log _(11)4 \\ log_(11)(y+8)=log_(11)((60)/(4)) \\ log_(11)(y+8)=log_(11)15 \\ \text{cancelling }log_(11)\text{ from both sides, we have } \\ y+8=15 \\ y=15-8 \\ y=7 \end{gathered}`

Hence the answer is y = 7