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[DOC File]logarithm equations
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Dec 06, 2006 · Solve each of the following equations for x: 1. log(x) + log(x+9) = 1 2. log(x) – log(x + 3) = 1. 3. log(x + 9) – log(x) = 1 4. log(2x + 1) – log(x – 9) = 1
solving logs when their base is different

[DOC File]Activity: Analyzing the Relationship between Logarithmic ...
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Think about the relationship between a function and its inverse. Use that relationship to solve the following: Given: f(x) = log(x). If f(x) = 1.2, find x. Given: g(x) = 10x. If g(x) = 37, find x. part 3: An Application of Logarithms: Hearing and Decibels. The decibel is the unit used to measure the intensity of a …
log x a solve for x 2

[DOCX File]4 .com
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The definitions and properties of logarithms can be used to solve equations in which either powers or logs appear. It is important to remember that . y= log a x is defined only for x>0 . Some equations will give roots that are less than zero.
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[DOC File]Domain and Range Worksheet
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Set the expression under the radical greater than or equal to zero and solve for the variable. This will be your domain. Rational functions can not have zeros in the denominator. Determine which values of the input cause the denominator to equal zero, and set your domain to be everything else. ... (x) = log (x - 6) b(n) = Answers at end ...
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[DOC File]Name_____________________________________Date ...
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Solve for x. Round to 3 decimal places if necessary. If x is the exponent of the log, then use the change base formula and the calculator. Be sure to get the exponent by itself! 1. log3 5 = x 2. log 6 50 = x 3. log 3 15 = x 4. 10x = 200 5. 7x = 300 6. 5x - 6 = 100 7. 16 – 4x = 10 8. 5x = 12 9. 5 x + 2 = 500 10. 2x = 1,000,000 11. 12. 5(1.5) x = 3000 13. 8x – 4 = 75 14. 48 – 2x = 40 15. 6(1.2)x = 18 16. 18. 19. 20. 21. …
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Precalculus Chapter 3 Review: Exponential & Logarithmic ...
Solve for x in each equation: (Remember to check solutions!) 19. 3(2x – 1) = 27 20. logx 125 = 3. 21. 43x = 64 22. log (7x – 12) = 2log x. 23. log6 (x + 3) + log6 (x + 4) = 1 24. 92x = 27(3x – 4) (Try to get the same base...) 25. log3 = 2 26. e (1 – 2x) = 4. 27. 3(43x-2) + 2 = 20 28. 7 + 3log5 2x = 14. 29.
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[DOC File]Log – Problems
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Let u = log3 x (x > 0 and since ‘x’ is in the base position of a log, x is not 1.) 52. x, y > 0 We’ll work with equation #1 and then substitute into #2. (Substitute into equation #2.) but not -11/3. since y > 0, our only y-solution is 4. 53. (Looking at equation #1, x can’t be zero, but it might be negative.)
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[DOC File]1. Solve the equation by factoring.
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log = log 1 - log = 0 - log(1 + x) = -log(1 + x) 176. Use the Laws of Logarithms to rewrite the expression log in a form with no logarithms of products, quotients, or powers.
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[DOC File]Logarithm Worksheet
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28. log 12 + ½ log 7 – log 2 29. log5(x2-1) – log5(x-1) Use the Change of Base Formula and a calculator to evaluate the logarithm, correct to six decimal places.
solving logs when their base is different

[DOC File]Module 5: Logarithmic Functions
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Solve for x. SOLUTION: Log-of-Quotients Law: If , then . proof: We will prove the log-of-quotients law by using the common logarithm (i.e., the logarithm of base 10). This law also holds for . all. other bases as well. Our proof will utilize the log-of-products and log-of-powers laws. EXAMPLE: SOLUTION: Solving Logarithmic Equations. EXAMPLE ...
log x a solve for x 2

How to solve for x in log