Question

What is another way of asking, "What is the log base of sixty four?"

Answer 1

One number or word is missing in the statement.

Assume you mean "what is the log base 4 of 64?"

That is:


`log_(4)64=x`

Since, logarithm is the inverse function of exponential, another way to say that is to what exponent must be raised 4 to make 64?

This is, find x such that 4 ˣ = 64

Since 64 is 4³, the answer would be 3.

If the question were "what is the log base 2 of 64?" then other way to say it is to what number must be raised 2 to make 64?

And the answer is found making:

2ˣ = 64

2ˣ = 2⁶

Therefore, x = 6.