SOLUTION: How to use exponential to solve the following equation (i) 4e(to the power 3t+5) = 4/e(to the power t)

SOLUTION: How to use exponential to solve the following equation (i) 4e(to the power 3t+5) = 4/e(to the power t)

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Question 502982: How to use exponential to solve the following equation (i) 4e(to the power 3t+5) = 4/e(to the power t)
Answer by jrb1965(16) (Show Source): You can put this solution on YOUR website!
You want to solve the following equation for t
=
Remember when you multiply, you add exponents, so multiply both sides of the equation by , and then divide by 4

= 4
= 1
To simplify an exponential function take the logarithm (ln) of both sides
= ln(1) = 0
By definition = x, and ln(1) = 0, so
4t + 5 = 0
4t = -5
t = -5/4 = - 1.25

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