SOLVING EXPONENTIAL EQUATIONS - Example
To solve an exponential equation, take the log of both sides, and
solve for the variable.
Example 8: Solve for x in the equation
- Step 1: Isolate the exponential term using steps 2 through 6.
- Step 2: Divide both sides of the above equation by 2000:
- Step 3: Subtract 1 from both sides of the above equation:
- Step 4: Multiply both sides of the above equation by
- Step 5: Divide both sides of the above equation by 0.95:
- Step 6: Subtract 4 from both sides of the above equation:
- Step 7: There is no way that the positive number e raised to a power will yield a negative number. There is no solution.
You could also graph the function
and note that the graph does not cross the x-axis. This means there is no
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