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Exponential and Logarithmic Equations

Solving Exponential Equations

Example 1: Solve 3x=20. Round your answer to four decimal places.

Example 2: Solve for x to four decimal places.

Example 3: A certain amount of money P (principal) is invested at an annual rate r compounded annually. The amount of money A in the account after t years, assuming no withdrawals, is given by

How many years to the nearest year will take the money to double if it is invested at 6% compounded annually?

Example 4: The atmospheric pressure P, in pounds per square inch, at x miles above sea level is given approximately by

At what height will the atmospheric pressure be half the sea-level pressure? Compute the answer to two significant digits.

Solving Logarithmic Equations

Example 6: Solve

Example 7: Solve and check.


Example: Solve:

Example: Solve:

Example: Solve: