Exam 4: The Laws of Exponents and Logarithms: Measuring the Universe

Solve for x: log 127,387.73 = x Round the answer to 4 decimal places.

Use scientific notation to perform each computation. Write your answers in scientific notation.

Express as a power of 10.

Perform the conversion given that there are 5280 feet in 1 mile. Convert 55 feet per second to miles per hour. If necessary, round your answer to 2 decimal places.

Simplify the expression. Express your answer using only positive exponents.

Evaluate: log 0.00001

The length of a hydrogen atom is millimeters and the average human foot measures 200 millimeters. How many hydrogen atoms would it take to equal the length of the average human foot? Express your answer in scientific notation and round the coefficient to 2 decimal places.

Simplify the expression. Express your answer using only positive exponents.

Simplify the expression. Express your answer using only positive exponents.

The land area of the Earth is approximately 1.484 ·10⁸ km² . In 1980, the population of the Earth was approximately 4,483,000,000. What was the population density (in people/km²) of the Earth in 1980? Round your answer to 2 decimal places.

Simplify by removing all possible factors from the radical, then combine any like terms.

Solve for x: log (6x+6) = -2.7 Round the answer to 4 decimal places.

Solve for x: log x = -0.1 Round the answer to 4 decimal places.

Simplify the expression. Express your answer using only positive exponents and evaluate whenever possible.

Simplify the expression.

Simplify the expression. Express your answer using only positive exponents.

Simplify and express the answer as a power of 10 with a positive exponent.

Simplify the expression.

Simplify the expression. Express your answer using only positive exponents.

Simplify the expression. Express your answer using only positive exponents.