PC: 4.2 Check

Front

What is the base of the natural logarithm (ln)?

Back

e

Front

Convert log₂ 0.25 = -2 into exponential form.

Back

2^-2 = 0.25

Front

Rewrite log_pt = m in exponential form.

Back

p^m = t

Front

What is the value of x in the equation log(1/100) = x?

Back

x = -2

Front

What is the base of log₅?

Back

10

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_ba = c, what is the equivalent exponential form?

Back

b^c = a

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 relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

Front

What is the value of log₁₀1000?

Back

3, because 10³ = 1000.