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Andreyy89
2 years ago
13

Solve the equation e^3x-4=3​

Mathematics
2 answers:
erastova [34]2 years ago
8 0

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=\dfrac{ln(7)}{3}}}}

12345 [234]2 years ago
5 0
Answer: 0.648637

Explanation:

e^3x = 3 + 4

e^3x = 7

3x = In (7)

X = 0.648637
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