Learn how to solve logarithmic equation using properties of logs and one to one

The video tutorial explains how to handle logarithmic equations, emphasizing that logs can only be canceled when one logarithm equals another. It demonstrates combining multiple logs into a single logarithm and solving the resulting equation. The process involves solving for X using square roots and verifying the solutions to ensure they work within the original equation.

What is the condition for canceling terms in logarithmic equations?

• When the coefficients are equal

• When the logarithms are equal

• When the bases are different

• When the exponents are equal

What is the result of combining log base 5 of 6 * 2X squared and log base 5 of 48?

• log base 5 of 6X^2 = log base 5 of 48

• log base 5 of 6X = log base 5 of 48

• log base 5 of 12X = log base 5 of 48

• log base 5 of 12X^2 = log base 5 of 48

What is the value of X after solving the equation 12X^2 = 48?

• X = ±4

• X = ±3

• X = ±2

• X = ±1

What is the first step in solving the equation 12X^2 = 48?

• Subtract 12 from both sides

• Divide both sides by 12

• Multiply both sides by 12

• Add 12 to both sides

Why is it important to verify the solutions X = ±2?

• To ensure they satisfy the original equation

• To find additional solutions

• To simplify the equation further

• To change the base of the logarithm