IM3 - 7.1-7.4 Exp/Log Review

Front

Simplify: 4e^3x

Back

4e^3x

Front

How are exponentials and logarithms related?

Back

They're inverses

Front

Is this exponential growth or decay? (Example: y = e^{-2x})

Back

Decay

Front

Logarithmic functions are the inverse of...

Back

Exponential Functions

Front

Simplify: 6e^11

Back

6e^11

Front

What is the base of natural logarithms?

Back

e (approximately 2.718)

Front

What is the relationship between log_a(b) and a^x = b?

Back

log_a(b) = x

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x

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)