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- Graph each function. Give the domain and range. ƒ(x) = log￬1/2 (x-2)
Problem 63
Problem 64
Graph each function. Give the domain and range. ƒ(x) = | log1/2 (x-2) |
Problem 65
Solve each equation. Give solutions in exact form. See Examples 5–9. log8 (x + 2) + log8 (x + 4) = log8 8
Problem 67
Solve each equation. Give solutions in exact form. See Examples 5–9. log2 (x2 - 100) - log2 (x + 10) = 1
Problem 69
Solve each equation. Give solutions in exact form. See Examples 5–9. log x + log(x - 21) = log 100
Problem 71
Solve each equation. Give solutions in exact form. See Examples 5–9. log(9x + 5) = 3 + log(x + 2)
Problem 71
Solve each equation. See Examples 4–6. 4x = 2
- Solve each equation. Give solutions in exact form. See Examples 5–9. ln(4x - 2) - ln 4 = -ln(x - 2)
Problem 73
- Solve each equation. See Examples 4–6. (5/2)^x = 4/25
Problem 73
Problem 74
Solve each equation. Give solutions in exact form. See Examples 5–9. ln(5 + 4x) - ln(3 + x) = ln 3
Problem 75
Solve each equation. Give solutions in exact form. See Examples 5–9. . log5 (x + 2) + log5 (x - 2) = 1
Problem 77
Solve each equation. Give solutions in exact form. See Examples 5–9. log2 (2x - 3) + log2 (x + 1) = 1
Problem 78
Graph the inverse of each one-to-one function.
- Solve each equation. Give solutions in exact form. See Examples 5–9. ln e^x - 2 ln e = ln e^4
Problem 79
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_2 5
Problem 79
Problem 80
Graph the inverse of each one-to-one function.
- Solve each equation. Give solutions in exact form. See Examples 5–9. log_2 (log_2 x) = 1
Problem 81
- Solve each equation. See Examples 4–6. 4^(x-2) = 2^(3x+3)
Problem 81
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_8 0.59
Problem 81
Problem 82
Graph the inverse of each one-to-one function.
- Solve each equation. Give solutions in exact form. See Examples 5–9. log x^2 = (log x)^2
Problem 83
Problem 83
Solve each equation. See Examples 4–6. x2/3 = 4
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. . log_1/2 3
Problem 83
- Solve each equation. See Examples 4–6. x^5/2 = 32
Problem 85
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_π e
Problem 85
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√13 12
Problem 87
- Solve each equation for the indicated variable. Use logarithms with the appropriate bases. See Example 10. p = a + (k/ln x), for x
Problem 87
- Use the change-of-base theorem to find an approximation to four decimal places for each logarithm. See Example 8. log_√19 5
Problem 88
- Solve each equation for the indicated variable. Use logarithms with the appropriate bases. See Example 10. r = p - k ln t, for t
Problem 88
- Solve each equation. See Examples 4–6. (1/e)^-x = (1/e^2)^(x+1)
Problem 91
