7.3 Part 1: Rewriting Logarithms

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

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

Convert the logarithmic expression log₁₀100 = 2 to exponential form.

Back

10² = 100.

Front

What is the base of the natural logarithm?

Back

The base of the natural logarithm is e (approximately 2.718).

Front

Rewrite the exponential equation 5³ = 125 in logarithmic form.

Back

log₅125 = 3.

Front

What is the common logarithm?

Back

The common logarithm is a logarithm with base 10.

Front

Convert log₂8 = 3 to exponential form.

Back

2³ = 8.

Front

What is the change of base formula for logarithms?

Back

log_ba = log_ka / log_kb for any base k.

Front

Rewrite the equation 4² = 16 in logarithmic form.

Back

log₄16 = 2.

Front

What does log₁₀1 equal?

Back

log₁₀1 = 0.