Question

What is the solution to log Subscript 3 Baseline (x 12) = log Subscript 3 Baseline (5 x) x = negative 8 x = negative 3 x = 3 x = 8.

Answer 1

The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.

The value of x is 3.

Given

The following expression:

$\rm log_3(x+12)=log_3(5x)$

What properties for Logarithms are used to solve the equation?

The following properties are used in the logarithms equation given below.

The product rule states that the multiplication of two or more logarithms with common bases is equal to adding the individual logarithms.

The bases are equal, the arguments are also equal;

Therefore,

$\rm log_3(x+12)=log_3(5x)\\\\x+12=5x\\\\5x-x=12\\\\4x=12\\\\x=\dfrac{12}{4}\\\\x=3$

Hence, the value of x is 3.

To know more about logarithms properties click the link given below.

brainly.com/question/26053315