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1. www.madasmaths.com › maths_booklets › basic_topicslogarithms practice - MadAsMaths

   www.madasmaths.com › maths_booklets › basic_topics

   Question 1 Simplify each of the following logarithmic expressions, giving the final answer as a single logarithm. a) log 7 log 22 2+ b) log 20 log 42 2− c) 3log 2 log 85 5+ d) 2log 8 5log 26 6− e) log 8 log 5 log 0.510 10 10+ − log 142, log 52, log 645, log 26, log 8010

2. www.mathcentre.ac.uk › resources › uploadedLogarithms - mathcentre.ac.uk

   www.mathcentre.ac.uk › resources › uploaded

   •explain what is meant by a logarithm •state and use the laws of logarithms •solve simple equations requiring the use of logarithms. Contents 1. Introduction 2 2. Why do we study logarithms ? 2 3. What is a logarithm ? if x = an then log a x = n 3 4. Exercises 4 5. The first law of logarithms log a xy = log a x+log a y 4 6. The second ...

3. math.colorado.edu › math1300 › resourcesWorksheet: Logarithmic Function - Department of Mathematics

   math.colorado.edu › math1300 › resources

   8. Prove the following statements. (1) logp b x = 2log x (2) log p1 b p x = log x (3) log 4 x2 = log p x 9. Given that log2 = x, log3 = y and log7 = z, express the following expressions

4. studywell.com › wp-content › uploadsLogarithms - Past Edexcel Exam Questions - StudyWell

   studywell.com › wp-content › uploads

   Logarithms - Past Edexcel Exam Questions. 1. (Question 7 - C2 May 2018) (i) Find the value of y for which. 1:01y 1 = 500: Give your answer to 2 decimal places. (ii) Given that. 2 log 4(3x + 5) = log 4(3x 3 + 8) + 1; x > 5. (a) show that. 9x2 + 18x. 7 = 0: (b) Hence solve the equation.

5. www.madasmaths.com › various › exponentials_logarithms_practiceEXPONENTIALS & LOGARITHMS PRACTICE - MadAsMaths

   www.madasmaths.com › various › exponentials_logarithms_practice

   Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a)e 164x=. b)2e 1 1273y− =. c)3e 5 142. z. d)4. 24 1 25e 25 − =−w.

6. www.ibmathematics.org › wp-content › uploadsLogs practice - ibmathematics.org

   www.ibmathematics.org › wp-content › uploads

   IB Questionbank. Logs practice. [48 marks] 1. Solve the equation 2 ln x = ln 9 + 4 . Give your answer in the form. x = peq where p, q ∈ Z+ . [5 marks] 3. Solve the equation log3 √x = 1 + log3(4x3) , where x > 0 . 2log23. [5 marks] ( )= log ( − 4) > 4 > 0. Let f(x)= a log3(x − 4) , for x > 4 , where a > 0 . Point A(13,7) lies on the graph of f . 3a.

7. www.standrewspaisley.com › uploads › 6/0/2EXPONENTIALS & LOGARITHMS - ST ANDREW'S ACADEMY

   www.standrewspaisley.com › uploads › 6/0/2

   ogarithmic Equations EFMany mathematical models of real-life situations use ex. onentials and logarithms. It is important to become familiar with using the laws of logarithm. EXAMPLES. Solve log a 13 + log a x = log 273 for a x > 0 . log a 13 + log a x = log a 273 log a 13 x = log a 273. a x =. = 21.