Exponential and Logarithm Flashcard

Front

Solve for x: (-3)^x = (-3)^{13}

Back

13

Front

Convert Log_381=x into Exponential Form

Back

3^x=81

Front

What type of function is y = 7(5/4)^x?

Back

Exponential Growth

Front

Evaluate log_525

Back

2

Front

What is the base of log_3(x) = 9?

Back

3

Front

Define an exponential function.

Back

A function of the form f(x) = a*b^x where a is a constant, b > 0, and b ≠ 1.

Front

What is the inverse of an exponential function?

Back

A logarithmic function.

Front

State the properties of logarithms: log_b(m*n)

Back

log_b(m) + log_b(n)

Front

State the properties of logarithms: log_b(m/n)

Back

log_b(m) - log_b(n)

Front

What is the change of base formula for logarithms?

Back

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