Answer:
The solution for x is:
[tex]x = -165.82[/tex]
Step-by-step 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
[tex]e^{-0.01x} - 5.25 = 0[/tex]
[tex]e^{-0.01x} = 5.25[/tex]
Now, the ln is the inverse operation to the exponential, so we apply the ln to both sides of the equality.
[tex]\ln{e^{-0.01x}} = \ln{5.25}[/tex]
[tex]-0.01x = 1.6582[/tex]
[tex]x = -165.82[/tex]
