Question

Solve the following logarithmic equation.  Select the correct choice below and, if necessary, fill in the answer box to complete your choice.(Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.)

Answer 1

Hello

We are given a log funtion to solve and see if it have a solution.

`\log _2(x+2)=\log _2(15)`

Step 1

we apply log rules

`\begin{gathered} \log _2(x+2)=\log _215 \\ x+2=15 \end{gathered}`

Step 2

Solve for x

`\begin{gathered} x+2=15 \\ x=15-2 \\ x=13 \end{gathered}`

From the calculation above, the solution of the set is 13; i.e x = 13