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:
Step-by-step explanation:
sin2x = 2sinx*cosx
=
* cosx
=
* cosx
= 2 
=
= 24/25
Answer:
The 5 rational are 91/150 , 92/150 , 93/150 , 94/150 , 95/150
Step-by-step explanation:
We have to fine 5 rational numbers between
3/5 and 2/3
First we have to make the denominator same
3/5= 3/5 ×3/3 = 9/15 =9/15×10/10 =90/150
2/3 = 2/3×5/5 = 10/15 = 10/15×10/10 = 100/150
The 5 rational numbers are
91/150 , 92/150 , 93/150 , 94/150 , 95/150
hope this helps :)
Answer:
30.56%
Step-by-step explanation:
Let the sides on each dice be labeled as 1, 2a, 2b, 2c, 3, 4.
The sample space for the sum of the values being 4 is:
S={1,3; 3,1; 2a,2a; 2a,2b; 2a,2c; 2b,2a; 2b,2b; 2b,2c; 2c,2a; 2c,2b; 2c,2c}
There are 11 possible sums out of the 36 possible outcomes that result in a sum of 4. Therefore, the probability their total is 4 is:

There is a 30.56% probability that their sum is 4.