Question

What is the solution to the equation log 2 x – log 2 4 = 2 ?

x = 1

x = 18

x = 8

x = 16

Answer 1

\[\log_{2}x-\log_{2}4=2 or
\log_{2}\frac{x}{4}=2 \]

Answer 2

Now put that in exponential form.

Answer 3

SO 1 WOULD BE MY ANSWER?

Answer 4

What is the exponential form of that equation? Hint: The base is 2 and the exponent is also 2

Answer 5

IM STUCK

Answer 6

\[2^2=\frac{x}{4}\]

Answer 7

That is the exponential form. Solve it.

Answer 8

X=8?

Answer 9

\[2^2=\frac x 4\]
\[4=\frac x 4\]
Now solve for x

Answer 10

8 RIGHT

Answer 11

How do you get 8?
\[\frac x 4= 4\]
\[x=4\times 4\]

Answer 12

16

Answer 13

Yes, we can check if it's correct
\[\log_2 x-\log_2 4=2\]
\[\log_2 16 -\log_2 4 =2\]
\[4-2=2\]
So it's correct
Did you understand ?

Answer 14

KIND OF