Question

If log 2^x = log 3, then which is the value of x?

Answer 1

There's a property of logs I want you to remember, that is:

log(a)ᵇ = b*log(a)

We'll be using this property to solve the question

Finding x:

log(2)ˣ = log(3)

x*log(2) = log(3)                                     [using the property mentioned above]

x = log(3) / log(2)                                 [dividing both sides by log(2)]

Hence, the correct answer is option E.