Which expression is equivalent to log subscript w baseline startfraction (x squared minus 6) superscript 4 baseline over rootindex 3 startroot x squared + 8 endroot endfraction?
4 log subscript w baseline startfraction x squared over 1296 endfraction minus one-third log subscript w baseline (2 x + 8)
4 log subscript w baseline (x squared minus 6) minus one-third log subscript w baseline (x squared + 8)
4 log subscript w baseline (x squared minus 6) minus one-third log subscript w baseline (x squared + 8)
4 (log subscript w baseline x squared minus one-third log subscript w baseline (x squared + 8) minus 6)

Step-by-step explanation:

The expression to simplify is given as:

Using the log property , we get

Now, we know that .So,

Also, property of log is

Using the above properties, we get

Hence, the given expression is equivalent to

Option C on E2020

Step-by-step explanation:

step-by-step explanation:

12: 00 p.m. to 7: 00 p.m. is a total of 7 hours.

4: 00 p.m. to 7: 00 p.m. is a total of 3 hours.

this means that from 4: 00 p.m to 7: 00 p.m. this represents 3/7 of what was lost from 12: 00 p.m. to 7: 00 p.m.

after knowing this, after doing 11,600 - 6,800 = 4,800

4,800 represents 3/7 of what was lost for 7 hours.

we then divide 4,800 by 3 which gets 1,600.

because we know that 1,600 represents 1/7 of how much water was lost, we just have to multiply by 7, which gets 11,200.   after adding 11,200 to how much water was left at 7: 00 p.m. which was 6,800. 11,200 + 6,800 = 18,000

this means that the pool originally had 18,000 gallons in the pool.

you can also check your work by doing 18,000 - 4(1600), which becomes           1800 - 6400 which gets you 11,600.

step-by-step explanation:

no, her answer is not correct.   we square the lengths of all sides and then determine whether the pythagorean theorem holds here:

9² + 15² = 306.   this is not equal to the square of the longest side ( that square being 395.   answer c is correct.