LOGS

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. For example, in the expression log_ab = c, a^c = b.

Front

Change to exponential form: log_a2 = 5

Back

a⁵ = 2

Front

What is the Quotient Property of Logarithms?

Back

The Quotient Property states that log_b(x ÷ y) = log_b(x) - log_b(y).

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Front

Change to Logarithmic Form: 5³ = 125

Back

log₅ 125 = 3

Front

What is the Product Property of Logarithms?

Back

The Product Property states that log_b(xy) = log_b(x) + log_b(y).

Front

Convert log₁₀1000 to exponential form.

Back

10³ = 1000

Front

What is the definition of the base in logarithms?

Back

The base in logarithms is the number that is raised to a power to obtain another number. In log_ab, 'a' is the base.

Front

If log₂x = 4, what is x?

Back

x = 2⁴ = 16

Front

What is the Inverse Property of Logarithms?

Back

The Inverse Property states that if y = log_bx, then b^y = x.