HELP HELP HELP HELP WILL GIVE BRAINLIEST4a^2 - b^2 - 2a + bfactor
1 answer:
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Answer:
If the expression is , then the answer is the first option.
If the expression is , then the answer is the third option.
Step-by-step explanation:
Remember that when you have a radical expression in the form , you can rewrite as:
Then:
- If the expression is , then you can rewrite it in the following radical form:
(This form matches with the first option.)
- If the expression is , then you can rewrite it in the following radical form:
(This form matches with the third option).
This equation uses two properties of logarithms:
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15
So you could take the ln from left and right hand side in the equation, and get:
(2-x)ln 3 = x ln 5
then
2 ln 3 - x ln 3 - x ln 5 = 0 =>
x(ln 3 + ln 5) = 2 ln 3
so x = 2 ln 3 / (ln3 + ln5)
Now using the 1st property you can say 2 ln 3 is ln 3² = ln9
and using the 2nd property you can say ln3 + ln5 = ln15
so x= ln9 / ln15