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)
Answer:
No
Step-by-step explanation:
26341 ÷ 3 = 8780.333333
because the product has a decimal of 8780 recurring 3, therefore 26341 is not divisible by 3
Answer:
The height of the triangle is 
cm.
Step-by-step explanation:
----------------------------------------
The formula for solving the area of a triangle is 
where 
stands for base and 
stands for height.
Let's substitute 30 
for the area and 10 for the base.
-------------------->>>>
Now, let's solve to find the height.
Multiply 
times 
Divide both sides by 5.
-----------------------------------------
Hope this is helpful.
Answer:
Octave
Step-by-step explanation:
F to F is an Octave.
Answer:
65 degrees
Step-by-step explanation:
<u>Step 1: Find what the measure of JLK is</u>
JLM + JLK = 180
140 + JLK - 140 = 180 - 140
JLK = 40
<u>Step 2: Find what the measure of KJL is</u>
KJL + JLK + JKL = 180
KJL + 40 + 75 = 180
KJL + 115 - 115 = 180 - 115
KJL = 65
Answer: 65 degrees
