AP PreCalculus Topics 2.9-2.11 Logarithmic Functions

Front

Rewrite log₂8 = 3 in exponential form.

Back

2³ = 8

Tags

CCSS.HSF.BF.B.5

Front

Rewrite 3⁴ = 81 in logarithmic form.

Back

log₃81 = 4

Tags

CCSS.HSF.BF.B.5

Front

What is log₅25?

Back

2

Front

What is the equation of the asymptote for the function y = log₅(x + 1)?

Back

x = -1

Front

Match the graph with its equation: y = log₅(x + 1) + 1

Back

This graph shifts the basic log function left by 1 and up by 1.

Tags

CCSS.HSF-IF.C.7E

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 given number.

Front

What is the change of base formula for logarithms?

Back

logₐb = logₓb / logₓa for any base x.

Front

What is the product rule for logarithms?

Back

logₐ(xy) = logₐx + logₐy.

Front

What is the quotient rule for logarithms?

Back

logₐ(x/y) = logₐx - logₐy.

Front

What is the power rule for logarithms?

Back

logₐ(x^n) = n * logₐx.