Exponential and Logarithmic Functions

Front

What does the 'b' represent in an exponential function?

Back

GROWTH FACTOR

Front

Write log₂ 0.25 in exponential form.

Back

2⁻² = 0.25

Front

What is the change of base formula used for?

Back

To convert logarithms to a different base for easier calculation.

Front

What does the 'a' represent in an exponential function?

Back

STARTING VALUE (y-intercept)

Front

Expand the expression: 6log₈(v) - 2log₈(u)

Back

6log₈(u) - 2log₈(v)

Front

What is the general form of an exponential function?

Back

f(x) = a * b^x, where 'a' is the starting value and 'b' is the growth factor.

Front

How do you convert an exponential equation to logarithmic form?

Back

If b^y = x, then log_b(x) = y.

Front

What is the value of log₁₀(10)?

Back

1

Front

What is the product rule for logarithms?

Back

log_b(MN) = log_b(M) + log_b(N) for any positive M and N.

Front

What is the quotient rule for logarithms?

Back

log_b(M/N) = log_b(M) - log_b(N) for any positive M and N.