Exponential and Logarithmic Functions Practice

Front

Change to Exponential Form: log₆36 = 2

Back

6² = 36

Front

Condense to a single logarithm: ln x⁴ / y

Back

ln x / y⁴

Front

Change of Base Formula for log₆ 48

Back

log 48 / log 6

Front

Expand: 1/3 log x + log y + log z

Back

1/3 log x + 1/3 log y + 1/3 log z

Front

Expand: 6log₈v - 2log₈u

Back

6log₈u - 2log₈v

Front

Definition of a logarithm

Back

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

Front

Properties of Logarithms: Product Rule

Back

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

Front

Properties of Logarithms: Quotient Rule

Back

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

Front

Properties of Logarithms: Power Rule

Back

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

Front

Exponential Growth Formula

Back

y = a(1 + r)^t, where a is the initial amount, r is the growth rate, and t is time.