Exponential/Logarithmic Review

Front

Change to Logarithmic Form: 12^2 = 144

Back

log_12 144 = 2

Front

Condense: log16 + log2 - log8

Back

log4

Front

Solve: 9^(8-x) = 27^(x-3)

Back

x = 5

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

Is this exponential growth or decay? (Example: y = 1/2^x)

Back

Decay

Front

What is the definition of a logarithm?

Back

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

Front

Convert the exponential equation 5^x = 25 to logarithmic form.

Back

log_5 25 = x

Front

What is the base of the common logarithm?

Back

10

Front

If log_b a = c, what is the equivalent exponential form?

Back

b^c = a

Front

What is the product rule of logarithms?

Back

log_b (xy) = log_b x + log_b y