6. Exponential & Logarithmic Functions
Solving Exponential and Logarithmic Equations
- Textbook QuestionSolve each equation. In Exercises 11–34, give irrational solutions as decimals correct to the nearest thousandth. In Exercises 35-40, give solutions in exact form. See Examples 1–4.5^2x + 3(5^x) = 28565views
- Textbook Question
Solve each exponential equation in Exercises 23–48. Express the solution set in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 5(2x+3)=3(x−1)
743views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. 5 ln x = 10567views
- Textbook Question
Solve each exponential equation in Exercises 23–48. Express the solution set in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. e2x−3ex+2=0
753views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. ln 4x = 1.5698views
- Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. log(2 - x) = 0.5560views
- Textbook Question
Solve each exponential equation in Exercises 23–48. Express the solution set in terms of natural logarithms or common logarithms. Then use a calculator to obtain a decimal approximation, correct to two decimal places, for the solution. 32x+3x−2=0
629views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. log_6 (2x + 4) = 2565views
- Textbook Question
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. log3x=4
605views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. log_4 (x^3 + 37) = 3579views
- Textbook Question
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. ln x=2
678views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. ln x + ln x^2 = 3559views
- Textbook Question
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. log4(x+5)=3
768views - Textbook QuestionSolve each equation. Give solutions in exact form. See Examples 5–9. log_3 [(x + 5)(x - 3)] = 2605views
- Textbook Question
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. log2(x+25)=4
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