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
We have been given that
and angle A is in quadrant 1. We are asked to find the exact value of
in simplest radical form.
We know that sine relates opposite side of right triangle with hypotenuse.

This means that opposite side is 12 units and hypotenuse is 13 units.
We know that cotangent relates adjacent side of right triangle with adjacent side.

Now we will find adjacent side using Pythagoras theorem as:




Let us take positive square root on both sides:

Therefore, adjacent side of angle A is 5 units.

Therefore, the exact value of cot A is
.
Answer:
value of x is B 5.5
Step-by-step explanation:
B 5.5 value of X
196 3/8 in^3. To get this, multiply all the numbers together. To find volume, the equation is length x width x height.
Answer:
8. -3, 16
9. -3, 4.5
Step-by-step explanation:
See attached worksheet.