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:
D. rectangle with a width of 7 cm and a length of 8 cm
Step-by-step explanation:
If you multiply 7 and 8 you get 56, which is the least area in all of these figures.
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Answer:
y = 14.5
Step-by-step explanation:
given that y varies directly as x
mathematically,
y ∝ x
y = kx .............................................. where k is the constant of proportionality.
k = y /x
given that
y = 79
x = 49
k = 79/49
k = 1.61
to find y when x = 9
from
y = kx
y = 1.61 × 9
y = 14.5
therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5
Answer:
A. x+20=60
Step-by-step explanation:
Start with what you know: Alex has $68 and that is $20 more than Michael. Think, what number is 20 less than 68? The number is 48. You can plug 48 in for x in each answer choice or you can derive the answer by creating your own equation. Make x=how much Michael has. Since Alex has $20 more dollars, Michael has 20 fewer dollars than Alex. so x=68-20. The only answer choice that is equal to that is A.
