Αποτελέσματα Αναζήτησης
1 EXPONENTS AND LOGARITHMS WHAT YOU NEED TO KNOW • The rules of exponents: • ma m× an = a +n • a a a m n = mn • (am)n mn= a • aa m n n m • a a n n − = 1 • an × nb = (ab)n • a b a b n n n = ⎛ ⎝⎜ ⎛ ⎝ ⎞ ⎠⎟ ⎞ ⎠ • The relationship between exponents and logarithms: • ab=⇔b xb g a where a is called the ...
Question 4 Solve each of the following equations, leaving your final answers as expressions involving natural logarithms in their simplest form. a) e 4x = b) e 92y = c) 2e 1 9−z + = d) 4e 7 572w− = e) 2e 7 243−3t − = x = 2ln2 , y = ln3 , z = − 2ln2 , w = 2ln2 , t = − ln5
Math 30-1: Exponential and Logarithmic Functions PRACTICE EXAM All of the following are exponential functions except: A. C. y = 2x D. y = 3x B. y = 1x 2. The point (-3, n) exists on the exponential graph shown. The value of n is: A. C. D. B. 10 5 (-3, n) 3. The graph of has: A. A vertical asymptote at x = -3 C. A vertical asymptote at y = -2 D.
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
Write the following expressions in terms of logs of x, y and z. 4. Write the following equalities in exponential form. 5. Write the following equalities in logarithmic form. 6. True or False? 7. Solve the following logarithmic equations. 8. Prove the following statements. 9.
Cheat sheets, worksheets, questions by topic and model solutions for Edexcel Maths AS and A-level Exponentials and Logarithms
Logs Questions 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. [2] (ii) Given that 2log 4 (3x+ 5) = log 4 (3x+ 8) + 1; x > 5 3 (a) show that 9x2 + 18x 7 = 0: [4] (b) Hence solve the equation 2log 4 (3x+ 5) = log 4 (3x+ 8) + 1; x > 5 3 ...
