6. Exponential & Logarithmic Functions

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. log 518 - log 342

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. log_b ((x²y)/z²)

For each substance, find the pH from the given hydronium ion concentration to the nearest tenth. grapefruit, 6.3$\times$10^-4

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. limes, 1.6$\times$10^-2

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

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. crackers, 3.9$\times$10^-9

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. ${\log }_b\left(\frac{\sqrt{x}{y}^3}{z^3}\right)$

Find the [H₃O⁺] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. soda pop, 2.7

Use a calculator to find an approximation to four decimal places for each logarithm. log_2/3 5/8

Find the [H₃O⁺] for each substance with the given pH. Write answers in scientific notation to the nearest tenth. beer, 4.8

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\log_5 \sqrt[3]{\frac{x^2 y}{24}}$

Use properties of logarithms to expand each logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator. $\ln \left( \frac{x^3 \sqrt{x^2 + 1}}{(x + 1)^4} \right)$