Question

Solve each equation x. If your answer is a decimal, round to the nearest hundredth log

Answer 1

x = 3

EXPLANATION :

From the problem, we have the equation :

`\log_7(5x+12)=\log_7(3x+18)`

Since we have two logarithms both having the same base of 7, we can equate it by :

Solve for the value of x :

`\begin{gathered} 5x+12=3x+18 \\ 5x-3x=18-12 \\ 2x=6 \\ x=(6)/(2) \\ x=3 \end{gathered}`