Logarithms

Front

Expand the logarithm expression: log(5x/4y)

Back

(log 5 + log x) - (log 4 + log y)

Front

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

Back

log_2(1/16) = -4

Front

Solve for x: log_x 25 = 2

Back

5

Front

Evaluate log_4(1)

Back

0

Front

Solve for x: 3^x = 27

Back

3

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 value of log_a(a)?

Back

1, because a^1 = a.

Front

What is the value of log_a(1)?

Back

0, because a^0 = 1.

Front

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

Back

b^y = x.