Answer:
Option B - ln 3247 = 3x
Step-by-step explanation:
We have given that : Equation = \(e^{3x} =3247\)
To find : The logarithmic form of the given equation
Solution : \(e^{3x} =3247\)
Taking 'ln' both side (ln= natural log)
\(ln(e^{3x}) =ln(3247)\) .........(1)
∵ Logarithm rule - \(ln(e^x)= x\)
∴ \(ln(e^{3x})= 3x\)
Now we put back in equation (1) we get,
\(3x =ln(3247)\)
or ln 3247=3x
Therefore, option B is correct
