Ch. 4 - Inverse, Exponential, and Logarithmic Functions
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Problem 22
For ƒ(x) = 3x and g(x)= (1/4)x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(-5/2)
Problem 22
Solve each equation. logx 27/64 = 3
- Solve 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. e^(3x-7) • e^-2x = 4e
Problem 23
- Solve each equation. x = log￬8 ∜8
Problem 23
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 387 + log 23
Problem 23
- For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. ƒ(-1.68)
Problem 24
- Solve each equation. x = log￬7 ⁵√7
Problem 24
- For ƒ(x) = 3^x and g(x)= (1/4)^x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(-1.68)
Problem 25
- Solve 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. (1/3)^x = -3
Problem 25
- Solve each equation. x = 3^log3 8
Problem 25
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342
Problem 25
Problem 26
For ƒ(x) = 3x and g(x)= (1/4)x find each of the following. Round answers to the nearest thousandth as needed. See Example 1. g(2.34)
- Solve 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. 0.05(1.15)^x = 5
Problem 27
- Graph each function. See Example 2. ƒ(x) = 3^x
Problem 27
- Solve each equation. x = 2^log2 9
Problem 27
Problem 28
Graph each function.
- Solve 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. 3(2)^(x-2) + 1 = 100
Problem 29
- Graph each function. See Example 2. ƒ(x) = (1/3)^x
Problem 29
- Solve each equation. log￬x 25 = -2
Problem 29
- For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). grapefruit, 6.3*10^-4
Problem 29
Problem 30
For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). limes, 1.6*10-2
- Solve 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. 2(1.05)^x + 3 = 10
Problem 31
Problem 31
Graph each function. See Example 2. ƒ(x) = (3/2)x
- Solve each equation. log￬4 x = 3
Problem 31
- Use a calculator to find an approximation to four decimal places for each logarithm. ln 144,000
Problem 31
- For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. See Example 2(a). crackers, 3.9*10^-9
Problem 31
Problem 32
Solve each equation. log2 x = 3
- Graph each function. See Example 2. ƒ(x) = (1/10)^-x
Problem 33
- Solve each equation. x = log￬4 ∛16
Problem 33
- Use a calculator to find an approximation to four decimal places for each logarithm. log₂/₃ 5/8
Problem 33