Question

Solving Exponential and Logarithmic Equations In Exercise, solve for x.
e- 0.01x - 5.25 = 0

Answer 1

The solution for x is:

`x = -165.82`

Explanation:

The first step to solve this equation is placing everything with the exponential to one side of the equality, and everything without the exponential to the other side. So

`e^(-0.01x) - 5.25 = 0`

`e^(-0.01x) = 5.25`

Now, the ln is the inverse operation to the exponential, so we apply the ln to both sides of the equality.

`\ln{e^(-0.01x)} = ln(5.25)`

`-0.01x = 1.6582`

`x = -165.82`