2,000,000 = 99845.49(1.15)^x how do you solve for the x without knowing trigonometry

Answer 1

To solve for x without using trigonometry, we can follow these steps:

1. Divide both sides of the equation by 99845.49 to isolate the exponential term:
2000000 / 99845.49 = (1.15)^x

2. Calculate the result of the left side of the equation:
20.0481 = (1.15)^x

3. Take the natural logarithm of both sides of the equation to solve for x:
ln(20.0481) = ln((1.15)^x)
ln(20.0481) = x * ln(1.15)

4. Divide the natural logarithm of 20.0481 by the natural logarithm of 1.15 to find the value of x:
x = ln(20.0481) / ln(1.15)
x ≈ 10.0099

Therefore, x is approximately 10.0099.