Question

What is x if `log_2(x)/4= 2`?

Answer 1

`x=512`

Explanation:

You have to understand what logs are: they are a way of dealing with numbers that are converted to an index form. In this case we are talking about the number 2 (the base) raised to some power (the index).

Multiply both sides by 4 giving:

`((log_2(x))/4) times 4 = (2) times 4` ....... (1)

The brackets are there only to show you the original parts so that it is obvious what I am doing.

But `" "("something")/4 times 4 -> "something" times 4/4 " and "4/4=1`

So equation (1) becomes:

`log_2(x) = 8` ................. (2)

To write equation (2) in index form we have:

`2^8 = x`

`x=512`