Week 9 Day 33-34 Alg 2 Logs 7c.1

Front

Change to Exponential Form: log₆36 = 2

Back

6² = 36

Front

Write in logarithmic form: 7² = 49

Back

log₇49 = 2

Front

Evaluate: 7⁻²

Back

1/49

Front

Solve: 5⁻²

Back

1/25

Front

Rewrite into rational exponent form: ∛34

Back

34¹/³

Front

Definition: Logarithm

Back

The logarithm is the inverse operation to exponentiation, answering the question: to what exponent must a base be raised to produce a given number.

Front

Definition: Exponential Form

Back

An expression where a number is raised to a power, represented as b^n, where b is the base and n is the exponent.

Front

Definition: Rational Exponent

Back

An exponent that is a fraction, indicating both a root and a power, such as a^(m/n) = n√(a^m).

Front

Convert to Exponential Form: log₄16 = 2

Back

4² = 16

Front

Convert to Logarithmic Form: 3⁴ = 81

Back

log₃81 = 4