6. Exponential & Logarithmic Functions

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518/342

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 387 + log 23

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log4 (√x/64)

In Exercises 21–42, evaluate each expression without using a calculator. log3 27

Solve each equation. x = 3^log3 8

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log6 (36/(√(x+1))

Find each value. If applicable, give an approximation to four decimal places. See Example 1. log 518 - log 342

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb ((x^2 y)/z^2)

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

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log √(100x)

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

Use a calculator to find an approximation to four decimal places for each logarithm. ln 144,000

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.log ∛(x/y)

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

In Exercises 1–40, use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.logb ((√x y^3)/z^3)