Example: Solving an Exponential Equation
The Goal
Solve the following equation for t:
The Mistake
Find the algebra mistake:
(Roll the mouse over the algebra to see a hint in red)
The Correction
(Roll the mouse over the area above to see the correction in blue)
An Explanation
The rules of logarithms were incorrectly used. The log of a product is the sum of the logs of the factors.
For this equation a more efficient solution would be to start by dividing both sides by 10:
