Final answer:
The exponential equation -17 + 4e^(x)=15 can be solved algebraically by first isolating the exponential term, then taking natural logarithms on both sides to find 'x'. The final result, approximated to three decimal places, is x = 2.079.
Step-by-step explanation:
To solve the equation -17 + 4e^(x)=15, we first shift -17 to the right side of the equation to isolate the exponential portion. This would give us the equation: 4e^(x) = 15 + 17 which simplifies to 4e^(x) = 32 .
Next, we divide both sides by 4 to get e^(x) = 8. To find ‘x’, we take natural logarithms on both sides: x = ln(8). Using a calculator, approximating ‘x’ to three decimal places, this comes out to be x = 2.079.
Learn more about Solving exponential equations