Solve each logarithmic equation in Exercises 49–92. Be sure to reject any value of x that is not in the domain of the original logarithmic expressions. Give the exact answer. Then, where necessary, use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution.
74.
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COLLEGE ALGEBRA ESSENTIALS-MYMATHLAB
- In Exercises 64–73, solve each exponential equation. Where necessary, express the solution set in terms of natural or common logarithms and use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 64. 24x-2 = 64 65. 125* = 25 %3D 66. 10 = 7000 67. 9*+2 = 27- 68. 8* = 12,143 69. 9esx = 1269 %3D 70. e12-5x - 7 = 123 71. 54r+2 = 37,500 %3D 72. 3*+4 = 72r-1 73. e2 - e - 6 = 0arrow_forwardFor Exercises 13–18, use the quotient property of logarithms to write the logarithm as a difference of logarithms. Then simplify if possible. (See Example 2) 13. logiz 14. log 15. In 1000 16. In 17. log 18. log 100arrow_forwardIn Exercises 128–131, graph f and g in the same viewing rectangle. Then describe the relationship of the graph of g to the graph of f. 128. f(x) = In x, g(x) = In(x + 3) 129. f(x) = In x, g(x) = In x + 3 130. f(x) = log x, g(x) = -log x 131. (x) = log x, g(x) = log(x – 2) + 1arrow_forward
- In Exercises 41–67, use properties of logarithms to condense each logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions without using a calculator. 41. log5 + log2 57. 3ln x - 1/3ln y 67. 1/3 [2ln(x+5)-ln x-ln(x2 -4)]arrow_forwardsolve, log(x)+log(x+1)=2 . please show work.arrow_forwardExpress the ratios in Exercises 69 and 70 as ratios of natural logarithmsand simplify.arrow_forward
- 2. Fill in the missing values to make the equations true. (a) log 7- log 5 = log , (b) log, 8 + log, U = log, 56 (c) log, 9 = log, 3 Continuearrow_forward7) Solve for "x" in the equation log,(x + 2) -1 = 4 (3 decimal point accuracy). Page Q + 1 & 6 7 8 toarrow_forwardUse the properties of logarithms to write the expressions in Exercises 43 and 44 as a single term.arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage