Solve each equation. Give an exact solution and a four-decimal place approximation. 7. 5 12 2x = 8. ln(x+ 3) =2 9. 4 3 x−2 = 10. 2x−3 =61−2x 11. The population of Italy has been decreasing at a rate of 0.1% per year. There were 56,783,000 people living in Italy in ... EXPONENTIAL & LOGARITHMIC EQUATIONS Answers 1. 7 1 2. 2 1 3. 24 1
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
Section 5.5 Solving Exponential and Logarithmic Equations 281 Solving Exponential and Logarithmic Equations Work with a partner. Match each equation with the graph of its related system of equations. Explain your reasoning. Then use the graph to solve the equation. a. e x = 2 b. ln x = −1 c. 2x = 3−x d. log 4 x = 1 e. log 5 x = 1 — 2 f ...
Master exponential and logarithmic equations with this comprehensive worksheet! Practice solving equations with step-by-step solutions and answer keys. Perfect for high school students and those studying precalculus. Download the PDF now and boost your math skills!
Worksheet by Kuta Software LLC Answers to 3.4 Solving Exponential and Logarithmic Equations (ID: 1) 1) {-4 5} 2) No solution. 3) {3 4} 4) {15 14} 5) 2.47296) 1.97397) 6.85038) -0.1854 9) -0.194510) 0.255311) 3.458312) 2.8791 13) 1.213114) -1.027315) -2.16716) 0.5383 17) {1 ...
Math Worksheets Name: _____ Date: _____ … So Much More Online! Please visit: www.EffortlessMath.com Exponential Equations and Logarithms Solve each equation for the unknown variable. ... Answers Exponential Equations and Logarithms 1) 1 2) 3.854 3) 1.3437 4) −1 5) 4 5
In 13 -16, approximate the logarithm using the properties of logarithms, given that log 2 0.3562 b |, log 3 0.5646 b |, and log 5 0.8271 b |. Round your result to four decimal places. 13) log 25 b 14) log 30 b 15) log 3 b 16) 25 log b 9 §· ¨¸ ©¹ Use a graphing calculator to solve each equation. 17 ) ex 3 x 18) ln x x 1 19) ex ln x 4 For ...
Solving Exponential and Logarithmic Functions Worksheet In 1‐9, solve each exponential equation. Where necessary, give the exact value and then use a calculator to obtain a decimal approximation, correct to four decimal places. ... Microsoft Word - Solving Exponential and Logarithmic Functions Worksheet.doc Author: staff Created Date:
1. A logarithm is the _____ that a specified base must be raised to in order to get a certain value. 2. A common logarithm is a logarithm whose base is _____, denoted log10 or just log. 3. Because logarithms are the _____ of exponents, the inverse of an exponential function, such as y 2x, is a logarithmic function,
Practice on Solving Exponential and Logarithmic Equations I. Solve each exponential equation. 1. 3 2722xx 2. 23x 1 16 3. 105x 1 1000x 2 4. 10 5 82x 5. 1 3 15 2 e x 6. 3 1 51 x II. Solve each logarithmic equation. 7. 5log 40 2 x 8. ln 2 1 7x 9. log(20 ) 8 11x 10. 33 xlog 5 log 140 11. log log ( 2) 3 22
Rewrite each of the following equations in exponential form. 21. log 27 33 22. log 125 35 23. logb mn 24. 3 8 1 log2 Rewrite each of the following equations in expanded logarithmic form. 25. loga xz 26. 7 2 log5 y 27. 2 5 3 (9 ) log b x y 28. 1 5 2 log (4 ) 53 x z Rewrite each of the following equations as a single logarithm, if possible.
Worksheet by Kuta Software LLC Algebra 2 Honors - Mr. Allen-Black Solving Exponential and Logarithmic Equations Name_____ ID: 1 Date_____ ©D x2f0G1R8l dKBuftCan fSzonf`tQwlamrMen LLcLHCp.g B gAnlHlv yrriAg^hjt\si hrmess^ewrwvleZdt.-1-CLASS EXAMPLES - EXPONENTIAL EQUATIONS: Solve each equation. 1) 53a = 52a + 2
Exponential Equations with Logarithms Name_____ Date_____ Period____ ... Solve each equation. Round your answers to the nearest ten-thousandth. 1) ... Create your own worksheets like this one with Infinite Precalculus. Free trial available at KutaSoftware.com.
UNIT 3: Exponential & Logarithmic Functions – SECTION 7 WORKSHEET Date: _____ Directions: Solve each logarithmic equation. Remember to check for extraneous solutions!
11 Exponential and Logarithmic Functions Worksheet Concepts: • Rules of Exponents ... • Solving Exponential and Logarithmic Equations (Chapter 5) 1. 1. The graph of an exponential function g(x) = ax is shown below. Find a. x y ... Your answers should be exact. (a) 4ex−8 = 2 x = ln(0.5)+8 (b) 4x+1 = 16 x = 1 3 (c) log8(x− 5)+log8(x +2 ...
L 1 lMYaEdje P awWiztGhE MIHnyfYiCn7iPtxe v tA SlZg ieWbDr4ai K2r. m Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Exponential Equations Not Requiring Logarithms Date_____ Period____ Solve each equation. 1) 42 x + 3 = 1 2) 53 − 2x = 5−x 3) 31 − 2x = 243 4) 32a = 3−a
I created this worksheet on Solving Exponential Equations, so that my students could work through the concept organized by types of exponential equations, in a progressive manner. The worksheet is organized by the following types: + Solve by rewriting using the same base number + Solve by taking the log of base b of both sides (the inverse of b^x)
