Question

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

Answer 1

Answer:

$x=e^{2} -4$

Step-by-step explanation:

Divide both sides by 5:

$log(x+4)=\frac{10}{5} \\log(x+4)=2$

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:

$x=e^{2} -4$