In order to combine fractions, they need to have the same denominator.
To figure out what value to make the denominator, find the least common denominator of 4 and 5:
4: 4, 8, 12, 16, <u>20</u>
5: 5, 10, 15, <u>20</u>
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The LCD is 20, so multiply 4/5 by 4/4 and -1/4 by 5/5 to make the denominator = 20
Now combine the fractions
2 ln 8 + 2 ln y
The first thing we could do is use the distributive property and "take out" the 2.
After we do that, we get
2( ln 8 + ln y)
Here's a cool property of logarithms of any base.
log a + log b = log ab
Note: The bases of the logarithms must be the same for this to work.
Let's apply that property
2 (ln 8 + ln y)
= 2 ln 8y
That could be your answer. If you want to remove the 2, we can use the following property:
a log b = log (a^b)
2 ln (8y)
= ln (8y)^2
= ln (64y^2)
That could be another answer.
Have an awesome day! :)
Answer:
$8.87
Step-by-step explanation:
Add the cost of the shirt and the skirt, 18.45 + 22.68 = 41.13
50-41.13 = $8.87