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Find the solution of the exponential equation, correct to four decimal places.?
Find the solution of the exponential equation, correct to four decimal places.
7e^(11x) = 15
what does x=?
3 Answers
- 8 years agoFavorite Answer
7e^(11x) = 15
Divide both sides by 7
e^(11x) = 15/7
natural log of both sides
ln(e^(11x)) = ln(15/7)
11x(ln(e)) = ln(15/7)
ln(e) = 1
11x = ln(15/7)
divide both sides by 11
x =(ln(15/7))/11
x = 0.069285
Source(s): math major - ?Lv 45 years ago
Take logs of the two sides of the equation. 3xlog2=log34 Divide the two sides by log2 we've: 3x=log34/log2 Use calculuator to divide the magnificent area of the equation. next: Isolate x on the left area of the equation by dividing the two sides by 3. We get this: x=(one million/3)(log34/log2) x = 2.5436/3 x = 0.84786 next: around off to the closest ten thousandths. very final answer: x = 0.8479 Guido
