Evaluating Logarithmic Expressions Answers

What is the solution of ?

What is the value of ?

What is the value of ?

Which logarithmic equation is equivalent to 32 = 9?

What is the solution of ?

Which logarithmic equation is equivalent to 82 = 64?

A Cepheid star is a type of variable star, which means its brightness is not constant. The relationship between the brightness of a Cepheid star and its period, or length of its pulse, is given by M = –2.78(log P) – 1.35, where M is the absolute magnitude, or brightness, of the star, and P is the number of days required for the star to complete one cycle. What is the absolute magnitude of a star that has a period of 45 days? Use a calculator. Round your answer to the nearest hundredth.

What is the value of log 13? Use a calculator. Round your answer to the nearest tenth.

The magnitude, M, of an earthquake is defined to be , where I is the intensity of the earthquake (measured by the amplitude of the seismograph wave) and S is the intensity of a “standard” earthquake, which is barely detectable. Which equation represents the magnitude of an earthquake that is 10 times more intense than a standard earthquake?

What is the value of ?