8.3 Rewriting & Evaluating Logs Assignment

Front

Rewrite log₃t = 5 in exponential form.

Back

3⁵ = t

Front

Evaluate the expression: log₉(1/3)

Back

-1/2

Front

Change to Logarithmic Form: 5³ = 125

Back

log₅ 125 = 3

Front

If log_n117 = 11, what is the exponential form?

Back

n¹¹ = 117

Front

Solve for 'x': log₆(3x - 2) = log₆(5x - 8)

Back

x = 3

Front

Definition of a logarithm: log_b(a) = c means what?

Back

b^c = a

Front

What is the change of base formula for logarithms?

Back

log_b(a) = \frac{log_k(a)}{log_k(b)} for any base k.

Front

Evaluate: log₁₀(1000)

Back

3

Front

Convert to exponential form: log₂(8) = 3

Back

2³ = 8

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_b(x) + log_b(y)