Question

Solving Exponential and Logarithmic Equation In exercise,solve for x or t.See example 5 and 6.

Answer 1

Answer:

The solution is $t = -52.66$

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

$400e^{-0.0174t} = 1000$

$e^{-0.0174t} = \frac{1000}{400}$

$e^{-0.0174t} = 2.5$

The ln is the interse operation to the exponential, so we apply the ln to both sides of the equality.

$\ln{e^{-0.0174t}} = \ln{2.5}$

$-0.0174t = 0.9163$

$t = -\frac{0.9163}{0.0174}$

$t = -52.66$