Unit 7: Exp and Log Functions Assessment

Front

Condense: log₂6 + log₂3 = ?

Back

log₂18

Front

Which expression is equivalent to log₂(m⁴/n⁷)?

Back

4log₂m - 7log₂n

Front

Solve: log(2x) - log(5) = log(30)

Back

75

Front

Rewrite in exponential form: ln(2) = x

Back

e^x = 2

Front

Calculate the total interest paid on a $195,000 loan at 4.3% interest compounded annually after 30 years.

Back

$494,546.99

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)

Front

Convert the logarithmic equation log₄(16) = 2 to exponential form.

Back

4² = 16

Front

What is the change of base formula for logarithms?

Back

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