Logarithms

Front

What is the value of log₄1?

Back

0

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Front

Express as a single logarithm: log₃ 27 - log₃ 9

Back

log₃ 3

Front

What is ln e⁵?

Back

5

Front

What is the value of log₃81?

Back

4

Front

Define a logarithm.

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_ba = log_ka / log_kb for any base k.

Front

What is the product rule for logarithms?

Back

log_b(xy) = log_bx + log_by.

Front

What is the quotient rule for logarithms?

Back

log_b(x/y) = log_bx - log_by.

Front

What is the power rule for logarithms?

Back

log_b(xⁿ) = n * log_bx.