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35 votes
Solve the equation e^3x-4=3​

User JonathanPeel
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2 Answers

14 votes
14 votes
Answer: 0.648637

Explanation:

e^3x = 3 + 4

e^3x = 7

3x = In (7)

X = 0.648637
User Habeeb
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3.2k points
17 votes
17 votes

We are given with a equation i.e ;


{:\implies \quad \sf e^(3x)-4=3}

Transpose 4 to Right-Hand-Side ;


{:\implies \quad \sf e^(3x)=7}

Now , Taking Natural logarithm to both sides ;


{:\implies \quad \sf ln(e^(3x))=ln(7)}


{:\implies \quad \sf 3x \: ln(e)=ln(7) \quad \qquad \{\because ln(a^(b))=b\: ln(a)\}}


{:\implies \quad \sf 3x=ln(7) \quad \qquad \{\because ln(e)=1\}}


{:\implies \quad \bf \therefore \quad \underline{\underline{x=(ln(7))/(3)}}}

User Abhishek Kannan
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2.8k points