Ch 6b Review (2025)

Front

What is the solution to the equation 7^(n+10) - 8 = 6?

Back

n = -8.643

Front

What is the asymptote of the function y = log10(x + 3)?

Back

x = -3

Front

Solve for x: log5(4x - 7) = log5(x + 5).

Back

x = 4

Front

Solve the equation: log2(x + 2) + log2(x) = 3.

Back

x = 2

Front

Convert log8(x + 2) = 3 to exponential form.

Back

8^3 = x + 2

Front

Define a logarithm.

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the product rule for logarithms?

Back

log_b(MN) = log_b(M) + log_b(N).

Front

What is the quotient rule for logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N).

Front

What is the power rule for logarithms?

Back

log_b(M^p) = p * log_b(M).