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
Answer:
See below
Step-by-step explanation:
Use 5 for "x" or "a number" and see if the inequality is true.
a) =3 < 5+11 < 2 . . . . false. 16 is not less than 2
b) 7·5 ≥ 35 or 4·5 < -12 . . . . true. 35 = 35
c) -7 + 2·5 = 3 is at most 2 . . . . false. 3 > 2
d) 5·5 +3 = 28 is between 2 and 30 . . . . true.
Answer:
7x+5y=700
91 student tickets
Step-by-step explanation:
7x+5y=700
7(35)+5y=700
245+5y=700
5y=455
y=91
<span>The correct answer is 1 16/25.
Explanation<span>:
This is read as "one and sixty-four one-hundredths." This means the fraction would be 1 64/100.
Both numerator and denominator are even, so we will divide both by 2 and get 1 32/50.
Again, both are even, so we divide by 2 again and get 1 16/25.</span></span>