APPC 2.13A video check

What condition must be met for the property "If log_a B = log_a C, then B = C" to be true?

• B and C must be positive.

• The base 'a' must be the same on both sides.

• The base 'a' must be greater than 1.

• B and C must be integers.

What is the first step to solve the equation 3 - log_2(x + 7) = log_2 5?

• Convert the equation to exponential form immediately.

• Add log_2(x + 7) to both sides.

• Subtract log_2 5 from both sides.

• Divide both sides by 3.

What is the simplified form of log_b b^x?

• b

• x

• b^x

• 1

When solving an exponential equation where the variable is in the exponent, what is a useful first step?

• Divide both sides by the base of the exponent.

• Take the logarithm of both sides with a base different from the exponential.

• Take the logarithm of both sides with the same base as the exponential.

• Multiply both sides by the exponent.

What is the solution for x in the equation log(x + 6) + 3 = 2?

• x = -5.9

• x = 2

• x = 0

• x = -6