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.