Evaluating and Rewriting Logs

Front

What is the value of log₆6?

Back

1

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

What is the value of log 0.01?

Back

-2

Front

Solve for x: log₈(x) = 2

Back

x = 64

Front

What is the value of log₂⅛?

Back

-3

Front

Define logarithm in terms of exponents.

Back

A logarithm is the exponent to which a base must be raised to produce a given number.

Front

What is the change of base formula for logarithms?

Back

log_b(a) = log_k(a) / log_k(b) for any base k.

Front

What is the value of log₁₀100?

Back

2

Front

If log_b(x) = y, what is the equivalent exponential form?

Back

b^y = x

Front

What is the value of log₃27?

Back

3