ACT24 ELF-5 & 6 Logarithms Review

Front

What is the base of the natural logarithm?

Back

e

Front

Evaluate: log_4(16)

Back

2

Front

Solve for x: log_6(2x + 3) = 3

Back

x = 106.5

Front

What is the base of the common logarithm?

Back

10

Front

What is the power rule of logarithms?

Back

log_b(x^y) = y * log_b(x)

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(a) = c, what does this imply?

Back

b^c = a

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

Evaluate: log_10(1000)

Back

3

Front

What is the product rule of logarithms?

Back

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