"5e0.2x=7" was answered by our experts

Post Secondary
Algebra
College algebra
Transformations of functions

Zoe Oneal

Answered question

2021-06-30

5 e^{0.2} x = 7

Answer & Explanation

Sally Cresswell

Skilled2021-07-01Added 91 answers

We are given:

5 e^{0.2} x = 7

Divide both sides by 5:

e^{0.2} x = 1.4

Take the natural logarithm of both sides:

{\ln e}^{0.2} x = \ln 1.4

Use the rule:

{\ln e}^{x} = x

0.2 = \ln 1.4

Divide both sides by 0.2:

x = \frac{\ln 1.4}{0.2} \sim 0.477

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