Express the equation in logarithmic form:

Question

(a)  is equivalent to . Then

a=?

b=?

Answer 1

Hi, Gopal:

Here, we use the definition of a logarithm: if y = a ^x, then x = log_ay

So, if 3 = e^x then x = log_e3 = ln 3 [ln is shorthand for log_e, usually called the natural log]

Or, rewriting in the same format as the question: ln 3 = x

Comparing to the question, we see that: A = 3 and B = x.