Question - Solving Exponential Equation for x
mathsolving exponential equationisolating exponential termexponential equation with natural logarithmcalculating x in exponential equation
Solution:
The equation in the image is:e^(4 - 7x) + 11 = 20To solve for x, follow these steps:1. Subtract 11 from both sides to isolate the exponential term:e^(4 - 7x) = 92. Take the natural logarithm (ln) of both sides to remove the base e exponent:ln(e^(4 - 7x)) = ln(9)3. Since ln(e^y) = y for any y, this simplifies to:4 - 7x = ln(9)4. Now isolate x by first subtracting 4 from both sides:-7x = ln(9) - 45. Finally, divide both sides by -7 to solve for x:x = (ln(9) - 4) / -7This will give you the numeric value of x. To find the exact value you can use a calculator.
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