Of course not.
-- Take a washable marker, and give your little sister another washable marker.
-- Stand back-to-back in your bedroom, you facing the front wall, and her facing the back wall.
-- When you say 'GO', both of you draw a straight line on the wall.
Then look at the lines.
-- The front and back walls are parallel planes, but it would be
amazing if the two lines are parallel. One could even be a
horizontal line and the other a vertical one . . . definitely not parallel.
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)
3×5 is 15
.................
Answer:
4.25 m
Step-by-step explanation:
Resolvemos esta pregunta usando la fórmula:
Altura del hombre / Sombra de un hombre = Altura del palo / Sombra del palo
Sombra del hombre = 3.50 m
Altura de un hombre = 1.75 m
Sombra del palo = 8.50 m
Altura del palo = x
Por lo tanto:
1.75 / 3.5 = x / 8.5
Cruz multiplicar
1.75 × 8.5 = 3.5 × x
14.875 = 3.5x
x = 14.875 / 3.5
x = 4.25 metros
Por tanto, la altura del palo = 4.25 m