$D:5x-2>0 \wedge x>0 \wedge x-1>0\\D:5x>2 \wedge x>0 \wedge x>1\\D: x>\frac{2}{5} \wedge x>1\\D:x>1\\\log_2(5x-2)-\log_2x-\log_2(x-1)=2\\\log_2\frac{5x-2}{x(x-1)}=\log_24\\\frac{5x-2}{x(x-1)}=4\\4x(x-1)=5x-2\\4x^2-4x=5x-2\\4x^2-9x+2=0\\4x^2-x-8x+2=0\\x(4x-1)-2(4x-1)=0\\(x-2)(4x-1)=0\\x=2 \vee x=\frac{1}{4}\\\frac{1}{4}\not \in D \Rightarrow \boxed{x=2}$

8 0

2 years ago

Read 2 more answers

The figure shows a carpeted room. How many square feet of the room are carpeted?

damaskus [11]

Answer:

The answer is B. 28.

Step-by-step explanation:

Did the test and got it correct! PLEASEEE BRAINLIEST

6 0

3 years ago

Read 2 more answers

For a set of five whole numbers, the mean is 4, the mode is 1, and the median is 5. What are the five numbers?

zmey [24]

SO we need 5 numbers that equal to 20, with 5 being the middle number, and ones being the most used number so

1 1 5 x y

According to this, x and y must equal 13 and both be bigger then 5. Because we can rule out every other number, x and y must be 6 and 7.

Your 5 numbers are 1, 1, 5, 6, 7.

5 0

2 years ago