Download 4.4 Properties of Logarithms and Logarithmic Scales

4.4 Properties of Logarithms
Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers. When possible, evaluate logarithmic expressions. Do not use a calculator.
Expand the given logarithmic expression. Assume all variable expressions represent positive real numbers. When possible, evaluate logarithmic expressions. Do not use a calculator.
Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers.
Write the expression as a single logarithm with a coefficient of 1. Assume all variable expressions represent positive real numbers.
Use the change­of­base formula to approximate the logarithm accurate to the nearest ten thousandth.
The Colombia earthquake of 1906 had an intensity of I = 398,107,000 I 0 . What did this earthquake measure on the Richter scale? (Round your answer to one decimal place.)
Compare the intensity of an earthquake that measures 4.0 on the Richter scale to the intensity of an earthquake that measures 3.0 on the Richter scale by finding the ratio of the larger intensity to the smaller intensity.
Milk of magnesia has a hydronium­ion concentration of about 3.97 × 10 −11 mole per liter. Determine the pH of milk of magnesia,
and state whether milk of magnesia is an acid or a base. (Round to one decimal place.)