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:
The light intensity at a depth of 24 feet is 3.0143 lumens.
The light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.
Step-by-step explanation:
Consider the provided formula.
Where I is the intensity of light and x is the depth.
Part (A) Find the light intensity at a depth of 24 feet.
Substitute x=24 in above formula.
Hence, the light intensity at a depth of 24 feet is 3.0143 lumens.
Part (B) At what depth is the light intensity 7 lumens
Substitute I=7 in above formula.
Hence, the light intensity will be 7 lumenus at the depth of 9.3732 feet approximately.
Answer:
.8 servings
Step-by-step explanation:
1 ÷ 1.25 = 0.8
