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Solve the equation below 3e^3x-5=49
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5 votes
Solve the equation below

3e^3x-5=49

User Slava Eremenko
by
4.3k points

1 Answer

3 votes

Answer:

x=ln(18)/3

Explanation:

Add 5 to both sides: 3e^(3x)=54

Divide both sides by 3: e^3x=18

Use natural logs: ln(e^3x)=ln(18)

Apply log rule: 3xln(e)=ln(18)

Apply log rule again: 3x=ln(18)

Solve for x: x=ln(18)/3

User Achref Gassoumi
by
3.0k points
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