Scribd
Upload
114 views1 page

Topic 2.13

Uploaded by

artistzriz.912nk
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
114 views1 page

Topic 2.13

Uploaded by

artistzriz.912nk
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
You are on page 1/ 1

AP Precalculus – Mixed Six – Topic 2.

13: Exponential and Logarithmic Equations and Inequalities Some Calculator

1. Factual Recall 2. Carry out a Procedure 3. Classify a Mathematical Object


Solve for x. Show work. Solve for x. Show work. Which of the following equations have a
1. 5 ⋅ 2 x −1 =
80 1. 22 x − 2 ⋅ 2 x − 3 =0 solution of x = 5?
2 x = 32

log 2 x = 32

2. 47 x−6 = 7 (
3 log 7 4 ) x
log 3 2 + log 3 ( x − 2 ) =
log 3 6
2. log x + log 4 =
2
3
ln125 = ln x
2

43 x − 7 = 4 x + 3

4. Prove, Show, Justify 5. Extend a Concept 6. Critique a Fallacy


1
Show that the inverse of g (= x) ln ( x + 1) − 5 Consider the functions Rudy attempts to find the inverse of
3
1 1
−1
is g = ( x ) e(3 x +15) − 1. =f ( x ) log 4 ( 2 x + 4 ) and g=
( x ) ln ( x ) + . h ( x ) = e 2 x −3 . The result is h −1=
( x ) ln( x) + 3.
2 2
Use your calculator to answer the following Graph the two functions to show that Rudy’s
questions. inverse is incorrect. Find the correct inverse of
a) Find the point of intersection. h. Show work.

b) For what values of x is f ( x ) ≤ 0?

Vicki Carter, Florence, SC

You might also like