Given:
4log1/2^w (2log1/2^u-3log1/2^v)
Req'd:
Single logarithm = ?
Sol'n:
First remove the parenthesis,
4 log 1/2 (w) + 2 log 1/2 (u) - 3 log 1/2 (v)
Simplify each term,
Simplify the 4 log 1/2 (w) by moving the constant 4 inside the logarithm;
Simplify the 2 log 1/2 (u) by moving the constant 2 inside the logarithm;
Simplify the -3 log 1/2 (v) by moving the constant -3 inside the logarithm:
log 1/2 (w^4) + 2 log 1/2 (u) - 3 log 1/2 (v)
log 1/2 (w^4) + log 1/2 (u^2) - log 1/2 (v^3)
We have to use the product property of logarithms which is log of b (x) + log of b (y) = log of b (xy):
Thus,
Log of 1/2 (w^4 u^2) - log of 1/2 (v^3)
then use the quotient property of logarithms which is log of b (x) - log of b (y) = log of b (x/y)
Therefore,
log of 1/2 (w^4 u^2 / v^3)
and for the final step and answer, reorder or rearrange w^4 and u^2:
log of 1/2 (u^2 w^4 / v^3)
The reciprocal of 10 2/3 is 3/32
Answer:
48.85 degrees
Step-by-step explanation:
To find the measure of the angle, use the inverse sine function.
Since Sin C = 55/73, so the inverse sine is 
.
Using a calculator, the angle is 48.85 degrees.
Let w be the width;and 2w-3 be the length. Then:
w(2w-3)=27
2w²-3w-27=0
(2w-9)(w+3)=0
w=9/2 or -3
The width is 9/2 ft, the length is 6
☺☺☺☺
Answer:
Original Value: 30,000
After Year 1: 22,500
After Year 2: 15,000
After Year 3: 7,500
After Year 4: 0
Answer: A (The value drops $7,500 every year).
Step-by-step explanation:
