Question

Solve the equation e^3x-4=3​

Answer 1

Answer: 0.648637

Explanation:

e^3x = 3 + 4

e^3x = 7

3x = In (7)

X = 0.648637

Answer 2

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)}}}`