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Problem 1
Fill in the blank(s) to correctly complete each sentence. If ƒ(x) = 4x, then ƒ(2) = and ƒ(-2) = ________.
Problem 6
Answer each of the following. Write log3 12 in terms of natural logarithms using the change-of-base theorem.
Problem 6
Fill in the blank(s) to correctly complete each sentence. The graph of ƒ(x) = -(1/3)x+4-5 is that of ƒ(x) = (1/3)x reflected across the ______ -axis, translated to the left ______ units and down _______ units.
Problem 7
Solve each equation. Round answers to the nearest hundredth as needed. (1/4)x=64
Problem 8
Answer each of the following. Between what two consecutive integers must log2 12 lie?
Problem 8
Solve each equation. Round answers to the nearest hundredth as needed. x2/3 =36
Problem 11
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. ƒ(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. 3^x = 7
Problem 11
- If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. 3^4 = 81
Problem 11
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 10^12
Problem 11
- 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(-2)
Problem 13
- 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. (1/2)^x = 5
Problem 13
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.1
Problem 13
- 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(2)
Problem 15
- 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. 0.8^x = 4
Problem 15
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. . log 63
Problem 15
Problem 16
If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log5 5 = 1
Problem 16
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(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. 4^(x-1) = 3^2x
Problem 17
- If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log￬√3 81 = 8
Problem 17
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 0.0022
Problem 17
Problem 18
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(-3)
Problem 18
If the statement is in exponential form, write it in an equivalent logarithmic form. If the statement is in logarithmic form, write it in exponential form. log4 1/64 = -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. 6^(x+1) = 4^(2x-1)
Problem 19
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log(387 * 23)
Problem 19
- 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(-5/2)
Problem 20
- Solve each equation. x = log￬3 1/81
Problem 20
- 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(3/2)
Problem 21
- 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^(x^2) = 100
Problem 21
- Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518/342
Problem 21