Problem 30
For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. limes, 1.610-2
Problem 31
For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. crackers, 3.910-9
Problem 31
Solve each equation. log4 x = 3
Problem 31
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. 2(1.05)x + 3 = 10
Problem 31
Use a calculator to find an approximation to four decimal places for each logarithm. ln 144,000
Problem 31
Graph each function. See Example 2. ƒ(x) = (3/2)x
Problem 31
Determine whether each function graphed or defined is one-to-one. y = 5|x+2|
Problem 32
Solve each equation. log2 x = 3
Problem 33
Graph each function. ƒ(x) = (1/10)-x
Problem 33
Solve each equation.
Problem 33
Use a calculator to find an approximation to four decimal places for each logarithm. log2/3 5/8
Problem 33
Determine whether each function graphed or defined is one-to-one. y = ∛(x+1) - 3
Problem 33
Find the [H3O+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. soda pop, 2.7
Problem 33
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. 5(1.015)x-1980 = 8
Problem 34
Graph each function.
Problem 35
Graph each function. ƒ(x) = 4-x
Problem 35
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. e2x - 6ex + 8 = 0
Problem 35
Solve each equation. log9 x = 5/2
Problem 35
Find the [H3O+] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. beer, 4.8
Problem 37
Graph each function. See Example 2. ƒ(x) = 2|x|
Problem 37
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. 2e2x + ex = 6
Problem 37
Solve each equation. log1/2 (x+3) = -4
Problem 37
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. 2.4910-5
Problem 38
Graph each function.
Problem 38
Solve each equation. log1/3 (x+6) = -2
Problem 39
Suppose that water from a wetland area is sampled and found to have the given hydronium ion concentration. Determine whether the wetland is a rich fen, a poor fen, or a bog. 2.4910-2
Problem 39
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. 52x + 3(5x) = 28
Problem 40
Use the definition of inverses to determine whether ƒ and g are inverses.
Problem 41
Solve each equation. Give solutions in exact form. 5 ln x = 10
Problem 41
Solve each equation. 3x - 15 = logx 1 (x>0, x≠1)
Ch. 4 - Inverse, Exponential, and Logarithmic Functions
