Logs Intro Review

Front

What is the logarithmic form of the equation 5^x = 10?

Back

x = log_5(10)

Front

How do you express 6^x = 8 in logarithmic form?

Back

log_6(8) = x

Front

Rewrite the equation 3^4 = 81 in logarithmic form.

Back

log_3(81) = 4

Front

What is the value of log_6(1)?

Back

0

Front

Convert log_9(x) = 2 into exponential form.

Back

9^2 = x

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

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

Back

b^c = a

Front

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

Evaluate log_10(10).

Back

1

Front

What is the change of base formula for logarithms?

Back

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