Question

Solve the following logarithmic equations.
5 log(x + 4) = 10

Answer 1

`x=e^(2) -4`

Explanation:

Divide both sides by 5:

`log(x+4)=(10)/(5) \\log(x+4)=2`

Cancel logarithms by taking exp of both sides:

`e^(log(x+4))=e^(2)  \\x+4=e^(2)`

Solve for x subtracting 4 from both sides:

`x=e^(2) -4`