Question

Solve the equation e^3x-4=3​

Answer 1

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 ;

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

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

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

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

Answer 2

Answer: 0.648637

Explanation:

e^3x = 3 + 4

e^3x = 7

3x = In (7)

X = 0.648637