Logarithms

Front

Write in logarithmic form: 2^-4 = 1/16

Back

log_2(1/16) = -4

Front

log_16(4) = y. What is y?

Back

y = 1/2

Front

Solve for x: log_8(x) = 2

Back

x = 64

Front

Evaluate log_3(12)

Back

0.44

Front

Write in exponential form: log_2(32) = 5

Back

2^5 = 32

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 logarithmic equation log_b(a) = c to exponential form.

Back

a = b^c

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

If log_10(100) = x, what is x?

Back

x = 2

Front

What is the value of log_2(8)?

Back

3