(15 pts) 1. For each of the following equations solve for r without using a calculator....
"(1) Simplify and write without negative exponents 125ry 12a (2) Subtract the fractions (3) Simplify by pulling as much as possible outside of the radical sign (4) Simplify (5) Find all real solutions to the following (a)(a+1)(2r+3)3 (b) 2x +3-4 (e) 214-Syl-3.. 4 5 52 (g) F-4-12-r-1- (h) 2- 0) log(5x +1) -2+ log(s-2) (k) log2(loga(c) 3 (1) log (r)+ log (r-2)-3 . (6) Solve and give your answer in a form that could be plugged into a calculator for...
Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. 8) log, x+log, (x -80)=2 A) (-1,811 B) 1-81 ) 1511 D) 191 Graph the function. 9) Use the graph of f(x)=e* to obtain the graph of g(x)=ex-3-1. Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions 10) logg...
QUESTIONS #1-11 SHOULD BE COMPLETED WITHOUT THE USE OF ANY CALCULATOR!!! 1. Find the solution to the equation in (r? + 3x ) – In 10=0. a) x=5 or x = -2 b) x= -5 or x = 2 c) x = 5 d) x = 2 2. Find the solution to the equation log, 8 c) d) r=2 a) x=512 b) x=24 8 3. Solve for logs d) 0 c) -3 b) 3 a) 6 d) all rational numbers...
(15 pts) 1. Solve the following problems. (a) Write the function f(r) as the form of 2kr. f() = (b) Let f(x) = 24 - determine all x for which f(x) = 0. (c) Given the logarithm log(/(x)) = 5log(ir + 1), find the single function expression for f(a), your answer should not contain log or e.
Seard 2. Evaluate without using a calculator. Draw a picture. Show and label where your answer lies. What is the reference angle? Write your answer as an exact value. You must show your work. Do not skip steps. v2 2 a. sin b. tan (13) 3. Find the length of the arc s intercepted by a central angle 0 = 330 in a circle of radius r =6 in. Round your answer to the nearest tenth. 1 4. If cos...
MAT 121 LOGARITHM PROJECT Fall 2019 Name: D. Evaluating Functions and Solving Equations 1. (4 pts) Let 6(x) = log (2x+1)-2 and H(x) = -2+2 log, x. Find all real numbers x for which I (x) - G(x). 2. Aarnie tried to solve the equation e +er = 12 but got the wrong answer. Here is his first step: In(e)+In(e)=In(12) a. (3 pts) Explain why his first step was wrong. b. (4 pts) Help Aarnle get a correct solution. Show...
MATHEMATICS AND STATICS Name Student# Class Exercise 1 Complex Numbers Week 2 1. Without using a calculator, determine all of the solutions of the following equations: (a) 2.2 +2:+5 = 0; (b) 2? + daz +52 =0, where a R. 2. Let - 1 - di and 3-11. Without using a calculator, determine (a) w, and hence, Rezw); Wee Class Exercise 1 Complex Numbers (b) 3m 3. Without using a calculator (or Wolfram Alpha), determine all solutions of 22 -...
15 all parts please! 15. Use Laws of Logarithms to solve the following equations. a) Write the expression as a sum, difference or product of logs. P9 V 7 10g6 pa b) Write the expression as a single log. (loga p-loga 9) + 2 logar c) Solve the equation and give the answer to four decimal places. 31-2x = 4* d) Solve the log equation and give the answer to four decimal places. log.(9x) = 2 - log. (x +...
Solve the following equations: a) log2 (2) + log2 (3x - 5) = 3 b) 22+3 = 7° c) log(+4) + loge(x+3) = 1 d) 4e-2 = 31
Include all relevant work please. 24. Solve the following for r. Give simplified exact values and approximate values (if needed) to four decimal places. Show your work to get full credit! 267-3x) = 16 p2x = 8 b) [4] b) (turn over) c) 2log2 x = 3 + log2 (x - 2) 14) d) log2 (x + 7) + log2 x = 3 d).