logarithm do you know it?

Question

find the value of x: log lower 2 16= x??

Answer 1

x = 4 because 2^4 = 16

Answer 2

2^x = 16
then x = 4

Answer 3

Y = LOGa(X) can also be written a (exponent X) = Y

Therefore,
X = LOG2(16) can also be written 2 (exponent X) = 16

you can rewrite to have the same base
2 (exponent X) = 2 (exponent 4)
note: 2 (exponent 4 ) = 16

you can then you the exponent law
if A (exponent u) = A (exponent v)
then u = v

so you get
x=4

Answer 4

log_2 16 = x
This is the same as saying 2^x = 16
So 2^x = 2^4
So x = 4 because if bases =, the exponents =.