Converting between Exponents and Logs

Front

Write 5^x = 10 in log form

Back

x = log_5(10)

Front

Convert 3^x = 12 to the equivalent log form.

Back

log_3(12) = x

Front

14^2 = 196 in log form

Back

log_14(196) = 2

Front

If log_n(117) = 11, what is the equivalent exponential form?

Back

n^11 = 117

Front

Logarithms are the inverse of ___________.

Back

Exponential

Front

What is the definition of a logarithm?

Back

A logarithm is the power to which a number must be raised to obtain another number.

Front

Convert log_2(8) to exponential form.

Back

2^3 = 8

Front

What is the base of a logarithm?

Back

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

Front

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

Back

b^c = a

Front

What is the change of base formula for logarithms?

Back

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