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Mathematics LibreTexts

12.6: Exponential and Logarithmic Functions- Answers to the Homework Exercises

( \newcommand{\kernel}{\mathrm{null}\,}\)

Inverse Functions

  1. yes
  1. yes
  1. no; [2,0] or [0,2]
  1. yes
  1. no
  1. no
  1. yes
  1. no
  1. g1(x)=42xx
  1. f1(x)=5x+10
  1. f1(x)=3x+3
  1. f1(x)=x1x1
  1. g1(x)=x+15
  1. h1(x)=(2x+4)34
  1. f1(x)=2x+7x+3
  1. g1(x)=(x2)31
  1. g1(x)=3x9
  1. f1(x)=4x+123
  1. f1(x)=3x3x+2
  1. g1(x)=3x+2
  1. f1(x)=5x+32
  1. f1(x)=1xx
  1. g1(x)=3x+12

Exponential Functions

  1. clipboard_ea0bc9dd7eed5d6d992ec4f3dade0168f.png
    Figure 12.6.1
  1. clipboard_eb5010c572078bb5505dbf9ad12e43c27.png
    Figure 12.6.2
  1. clipboard_eb2b6e1703bd6b9cc45a861e599e83599.png
    Figure 12.6.3
  1. clipboard_ea10d64881fb4cac3ffcd6db266bcb080.png
    Figure 12.6.4
  1. 0
  1. 34
  1. 23
  1. 2
  1. No Solution
  1. No Solution
  1. No Solution
  1. 0
  1. 13
  1. 38
  1. 1
  1. 54
  1. 0
  1. 56
  1. 43
  1. 0
  1. 14
  1. No Solution
  1. 23
  1. 1

Logarithmic Functions

  1. 92=81
  1. 132=169
  1. 162=256
  1. log81=0
  1. log642=16
  1. log14412=12
  1. 13
  1. 2
  1. 6
  1. 0
  1. 12
  1. (107,)
  1. (,78)
  1. clipboard_e457a3bcfbf277cd2601aa6db51ca25f6.png
    Figure 12.6.5
  1. clipboard_eafb08a5f34896db57ae3fa02dc04bcb3.png
    Figure 12.6.6
  1. clipboard_e473ce75a7a47795dc8531a6ffb9a0732.png
    Figure 12.6.7
  1. 5
  1. 121
  1. 1253
  1. 12
  1. 25
  1. 1,000
  1. 4511
  1. 24013
  1. 283243

Logarithm Properties

  1. loga(mk6n)
  2. log86x
  3. log8(6x312)
  4. loga(a2(2x+1)3(2x1)2)
  5. 312log4(x1)
  6. 2log2x6log2y
  7. logbx+3logbz
  8. logbx+5logby7logbz
  9. 2.8540
  10. 3.2694
  11. 1.3778
  12. 1
  13. 0.394
  14. 5
  15. 0

Solve Exponential and Logarithmic Functions

  1. 377124
  2. 10
  3. 6
  4. 8
  5. 9
  6. No Solution
  7. 115
  8. 7+log37; 5.2288
  9. 18log23.6; 0.2310
  10. log21110; 0.1375
  11. 19log539.2; 0.2533
  12. 24.75 years
  13. year 2034
  14. 105 days
  15. 10.5 minutes

This page titled 12.6: Exponential and Logarithmic Functions- Answers to the Homework Exercises is shared under a CC BY-NC-SA 4.0 license and was authored, remixed, and/or curated by Darlene Diaz (ASCCC Open Educational Resources Initiative) via source content that was edited to the style and standards of the LibreTexts platform.

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