Question

Which exponential equation is equivalent to the logarithmic equation below?
3 = ln x

A. e = x^3
B. x = 3e
C. x = e^3
D. x = 10^3

Answer 1

ln(x) = 3, since the base of this logarithm is "e" , then its exponential form will be:

x=e^3 (answer C)

Answer 2

Answer:

option C: x= e^3

Step-by-step explanation:

write the equivalent to the logarithmic equation 3=ln(x)

Rule for converting log form to exponential form i s

y=ln(x)   becomes

$e^y= x$. ln is the natural logarithm . the base of ln is 'e'

Apply the above rule to convert logarithamic equation in to exponential equation

3= ln(x)

$e^3= x$

So answer is x= e^3