Find all the real solutions to the logarithmic equation ln(x)=2
A
2
No worries! We‘ve got your back. Try BYJU‘S free classes today!
B
2e
No worries! We‘ve got your back. Try BYJU‘S free classes today!
C
1,0
No worries! We‘ve got your back. Try BYJU‘S free classes today!
D
no real solutions
No worries! We‘ve got your back. Try BYJU‘S free classes today!
E
e2
Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses
Open in App
Solution
The correct option is Ee2 Let both sides be exponents of the base e. The equation ln(x)=2 can be rewritten as eln(x)=e2.
By now you should know that when the base of the exponent and the base of the logarithm are the same, the left side can be written x. The equation eln(x)=e2 can now be written as x=e2.