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## gfields444 2 years ago What is the solution to the equation log [2] x – log [2] 4 = 2 ?

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1. gfields444

i got x=18 but I wanted another opinion

2. Shi

I dont think thats correct, what did your equation look like before your answer?

3. fall2012

|dw:1346720360010:dw|

4. fall2012

that is supposed to be a sixteen

5. lgbasallote

$\log_2 x - \log_2 4 =2$ $\implies \log_2 (\frac x4) = 2$ change to expoenntial form $\implies 2^2 = \frac x 4$ simplify... $\implies 4 = \frac x4$ cross multiply $\implies 4 \times 4 =x$ simplify.. $\boxed{\implies 16 = x}$

6. gfields444

Ohhh. Okay I see exactly what I did wrong. I really appreciate it..!

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