AP Precalculus Exam 4 Study Guide

Log Expressions

200

log₃1 = ?

0

300

log₆(1/36) = ?

-2

400

Calculator question, NO DESMOS

log₂10 = ?

3.3219.....

500

(1/3)log₂64 + (1/2)log₂36- log₂(3log₄4) = ?

3

ants on a LOG

200

Condense:

ln(4)+ln(x)-ln(e)

ln(4x) - 1

300

Find the inverse:

f(x) = (1/2)e^2x+3

y = [ln(2x) - 3]/2

400

Find the inverse:

y = 2 - log₄(x/4)

Answer must be fully simplified/condensed.

y = 4^3-y

500

Given g(x) = log(x² +3x - 5) - log(7x - 16)

Find all values of x for which g(x)>0

x>7

or

(7,infinity)

Logarithmic FUNctions

200

Write the equation for the vertical asymptote for the following function:

f (x) = 3log(x - 4) + 22

y = - 4

300

Let f(x) = 5-2(3)^7-x and g(x) be the inverse of f(x).

For what value of x does g(x) = 5.

-13

400

log(x) + log(x + 20) = log(96)

x = 4

500

log₁₂(n+14) + log₁₂(4n²) = 2

Solve for n.

4

Exponential + Log

200

Solve for n. 

5²ⁿ = 5^-3n

0

300

log₃(x) = 4

x = 81

400

log(x + 5) - log(x - 6) = 1

x = (65/9)

500

log(4x) - log(x + 5) = log(29)

No SOL

Trivia

100

How many in a baker's dozen?

13

200

Which is bigger: 

Central Park, New York

or

the country of Monaco.

Central Park, New York

300

What kind of animal is knuckles?

echidna

400

What is the brightest star in the sky?

sun

500

What is the second longest river in the world?

amzn