9.4 HW Logarithms and Exponentials 2025

Front

Convert log₁₂(x)=2 to exponential form.

Back

12²=x

Front

Describe the asymptote of f(x)=log₅(x+4) - 2.

Back

Vertical Asymptote x = -4

Front

Write log₂ 0.25 = -2 in exponential form.

Back

2^-2=0.25

Front

Rewrite log (x) = ¼ in exponential form.

Back

10^1/4=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

What is the base of a logarithm?

Back

The base of a logarithm is the number that is raised to a power to obtain a certain value.

Front

What is the relationship between logarithms and exponents?

Back

Logarithms are the inverse operations of exponentiation.

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 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).