logarithmic and exponential rewriting and evaluating

Front

What is the base of the natural logarithm?

Back

e

Front

Rewrite log_pt = m in exponential form.

Back

p^m = t

Front

What is anything raised to the power of zero?

Back

1

Front

Solve for x: 5^x = 1

Back

0

Front

Rewrite log₃(9) = 2 as an exponential.

Back

3² = 9

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

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

Back

b^y = x

Front

What is the value of log₁₀(100)?

Back

2

Front

What is the product rule for logarithms?

Back

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

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_b(x) - log_b(y)