Converting Exponential Form to Log Form

Front

What is the logarithmic form of the equation 10^0 = 1?

Back

log 1 = 0

Front

Rewrite log_v n = a in exponential form.

Back

v^a = n

Front

Convert to logarithmic form: 11^0 = 1.

Back

log_{11} 1 = 0

Front

Write in logarithmic form: 2^-1 = 0.5

Back

log_2 0.5 = -1

Front

Rewrite into logarithmic form: 10^4 = 10,000

Back

log 10,000 = 4

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.

Front

Convert to logarithmic form: 5^3 = 125.

Back

log_5 125 = 3

Front

What is the change of base formula for logarithms?

Back

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