Log Flashcards

Front

Write in exponential form: log₂ 32 = 5

Back

2⁵ = 32

Front

Write in exponential form: log₅ 5 = 1

Back

5¹ = 5

Front

What is the base of the natural logarithm?

Back

e

Front

Write in exponential form: log₂(1/8) = -3

Back

2⁻³ = 1/8

Front

Write in logarithmic form: 2⁻⁴ = 1/16

Back

log₂(1/16) = -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 logₐ b = c, what is the exponential form?

Back

a^c = b

Front

What is the change of base formula for logarithms?

Back

logₐ b = logₓ b / logₓ a for any base x.

Front

What is the value of log₁₀ 10?

Back

1

Front

What is the value of logₐ 1 for any base a?

Back

0