Calculation of common logarithms

Solve each exponential equation by using properties of common logarithms. When necessary, round answers to the nearest hundredth. 7^3x - 1 = 5^x - 1

x ≈ 0.08

Solve each exponential equation by using properties of common logarithms. Do not round the expression until the final answer. When necessary, round answers to the nearest hundredth. 5^x = 3

x ≈ 0.68

Solve each exponential equation by using properties of common logarithms. Do not round the expression until the final answer. When necessary, round answers to the nearest hundredth. 17^x = 89

x ≈ 1.58

Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth. log6 21

1.70

Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth. log2 32

5

Evaluate the logarithmic expression. Do not round the expression until the final answer. When necessary, round to the nearest hundredth. log 0.1 8

-.90

Use complete sentences to describe how simplifying expressions with multiple logarithms makes evaluating expressions less complicated.

An exponential equation can be easily converted to a logarithmic equation using these definitions: Exponential Form of an equation: ax = y Logarithmic Form of an equation: logay = x