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Solving Exp and Log Equations Worksheet Properties

This document provides instructions and properties for solving exponential and logarithmic equations. It contains 20 practice problems for students to solve, with the problems ranging from solving simple exponential equations like 5x = 12 to more complex logarithmic equations that require use of logarithmic properties like log6(2x - 6) + log6 x = 2. Students are instructed to check their solutions, round to three decimal places if needed, and show their work.

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Matematika Ssv
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58 views2 pages

Solving Exp and Log Equations Worksheet Properties

This document provides instructions and properties for solving exponential and logarithmic equations. It contains 20 practice problems for students to solve, with the problems ranging from solving simple exponential equations like 5x = 12 to more complex logarithmic equations that require use of logarithmic properties like log6(2x - 6) + log6 x = 2. Students are instructed to check their solutions, round to three decimal places if needed, and show their work.

Uploaded by

Matematika Ssv
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
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Name__________________________________ Date____________ Period________

SOLVING EXP AND LOG EQUATIONS WORKSHEET


log b x
Properties: ln x  log e x log a x  If b y  x, then log b x  y
log b a log b b x  x ln e x  x

Solve the exponential equation. Check for extraneous solutions. Round the result to
three decimal places if necessary.

1. 5x = 12 6. 10x + 2 - 1 2 = 22

2. 4x - 6 = 4
7. 7 2 x3  4  14

3. 3e 3x =12
8. 3(2x + 6 ) = 17

4. 102x-3 + 3 = 19
9. 4 e 3x -8 = -6

5. 3ex + 7 = 9
10. 102x+1 + 2 = 2
Solve the logarithmic equation. Check for extraneous solutions. Round the result to
three decimal places if necessary.

11. 7 - log3 (8x) = 2 16. 4 + log9 (3x - 7) = 6

12. 2 log2 (l - 2x) = 12 17. log2 (2x) + log2 x = 5

18. log6(2x - 6) + log6 x = 2


13. 3 ln x - 7 = 4

19. ln (3x) - ln 2 = 4
14. ln(l - 3x) + 3 = 9

20. 3log5 x - log5 (5x) = 3 - log5 25


15. log (7x) + 4 = 5

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