Question

Consider the equation 6*e^{0.25t}=9

Solve the equation for t. Express the solution as a logarithm in base-e.

Approximate the value of t. Round your answer to the nearest thousandth

Answer 1

t = ln1.5/0.25

t = 1.622

Explanation:

Gives the equation, 6*e^{0.25t}=9

We are to find t

6*e^{0.25t}=9

e^{0.25t}=9/6

e^{0.25t}= 1.5

Apply ln to both Sides

ln( e^{0.25t) = ln1.5

0.25t = ln1.5

t = ln1.5/0.25

t = 1.622