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Saad Abdullah Majrashi Assignment Homework 6 due 10/26/2021 at 11:59pm CDT 1. (1 point) Match the statements defined below with the letters labeling their equivalent expressions. 1. 2. 3. 4. A. B. C. D. f21akapshukt0320s002 1 (b) log2 16 = −4. That is, write your answer in the form DE = F. Then D= E= F= ln(yx ) ln xy ln(xy) ln(xy ) ln x + ln y x ln y ln x − ln y y ln x Answer(s) submitted: • • • • • • Answer(s) submitted: • • • • (incorrect) 4. (1 point) (a) If log3 x = 3, then x = (b) If log5 x = 3, then x = (incorrect) 2. (1 point) Use the Laws of logarithms to rewrite the expression  s  ln x5 . . Answer(s) submitted: • • y3  z8 (incorrect) in a form with no logarithm of a product, quotient or power. After rewriting we have  s  y3  = A ln x + B ln y +C ln z ln x5 z8 5. (1 point) Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal places. log10 (3x + 3) = 3 with the constant A= the constant B= and the constant C= x= Answer(s) submitted: • (incorrect) Answer(s) submitted: • • • 6. (1 point) Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal places. (incorrect) 5ex − 17 = 8 3. (1 point) Express the equation in exponential form (a) log32 2 = 15 . That is, write your answer in the form AB = C. Then A= x= Answer(s) submitted: • B= C= (incorrect) 1 is x= 7. (1 point) Solve the following equation. If necessary, enter your answer as an expression involving natural logarithms or as a decimal approximation that is correct to at least four decimal places. Answer(s) submitted: • e5x = 17 (incorrect) x= 9. (1 point) Solve the equation Answer(s) submitted: • ex+3 = ex + 2 (incorrect) 8. (1 point) Exponential Equations. Understand how to solve equations involving exponentials. For example, the largest solution of the equation 2 x2 −5x+9 x= Answer(s) submitted: • =8 (incorrect) Generated by c WeBWorK, http://webwork.maa.org, Mathematical Association of America 2
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