Question

solving equations using properties of logarithms ccssd pre - calculus cp ic 25 - 26 what is the solution to log3(x + 12)=log3(5x)? x = 3 x=-3 x=-8 x = 8

Explanation:

Step1: Use log - property

If $\log_aM=\log_aN$, then $M = N$ (for $a>0,a
eq1,M>0,N>0$). Given $\log_3(x + 12)=\log_3(5x)$, we get $x + 12=5x$.

Step2: Solve for $x$

Subtract $x$ from both sides: $12=5x - x$. So, $12 = 4x$.

Step3: Find the value of $x$

Divide both sides by 4: $x=\frac{12}{4}=3$.

Answer:

$x = 3$