Question

i need help solveing log2x=4

Answer 1

\[\log_{2} x=4\]

Answer 2

What do you think is the answer?

Answer 3

i was think it mightbe -16

Answer 4

This is how you change from a log equation to an exponential equation.
\(\log_b x = y \iff b^y = x\)

Answer 5

When you take the logarithm of a number base b, you are asking the question, what exponent do I raise base b to, to get the number. The logarithm is an exponent.

Answer 6

\(\log_2 x = 4\) means "what number, x, is the same as base 2 raised to the 4th power"?

Answer 7

ok so x would be 4

Answer 8

i got it x is 16

Answer 9

Correct.
Log base 2 of 16 is 4 because 2^4 = 16.