PC: 4.2 Check

Front

What is the logarithmic form of the equation 3^4 = 81?

Back

log_3 81 = 4

Front

What is the base of the logarithm log5?

Back

10

Front

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

Back

x = -2

Front

Convert the logarithmic equation log_2 0.25 = -2 into exponential form.

Back

2^{-2} = 0.25

Front

Solve for x in the equation log_2 x = 3.

Back

x = 8

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 is the equivalent exponential form?

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

What is the value of log_10 1000?

Back

3, because 10^3 = 1000.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.