Exponential/Logarithmic Review

Front

Write as a single logarithm: 16 log u + 4 log v

Back

log(v^4 u^16)

Front

An investment of $9,875 earns 4.8% interest compounded monthly over 12 years. How much INTEREST is earned?

Back

$7,457.95

Front

What type of function is f(x) = 2(1/7)^x?

Back

Exponential Decay

Front

Solve for x: log_3(81) = x

Back

x = 4

Front

Solve: 2^x = 4^(x+1)

Back

x = -2

Front

Define a logarithm.

Back

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

Front

What is the change of base formula for logarithms?

Back

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

Front

What is the relationship between exponential and logarithmic functions?

Back

Exponential functions are the inverse of logarithmic functions.

Front

Define exponential growth.

Back

Exponential growth occurs when a quantity increases by a consistent percentage over time.

Front

Define exponential decay.

Back

Exponential decay occurs when a quantity decreases by a consistent percentage over time.