Question

Solve the equation below

3e^3x-5=49

Answer 1

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