A chemical company makes two brands of antifreeze. The first brand is 30% pure antifreeze, and the second brand is 75% pure anti
1 answer:
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Answer:
log₅(3125) = 5
Step-by-step explanation:
Given:
log₅(3125)
Now,
using the property of log function that
logₐ(b) =
thus,
Therefore, applying the above property, we get
⇒ (here log = log base 10)
now,
3125 = 5⁵
thus,
⇒
Now,
we know from the properties of log function that
log(aᵇ) = b × log(a)
therefore applying the above property we get
⇒
or
⇒ 5
Hence,
log₅(3125) = 5
Answer:
x = 3
Hope this helps!
Step-by-step explanation:
ΔABC is a 45°, 45°, 90° triangle. The longest side ( 6 ) can be
while AB and CB are x. Because 6
is equal to
, you can see that x is equal to 6. Both AB and CB are equal to 6. ΔBDC ( CDB ) is a right triangle ( 30°, 60°, 90° ) so, BD = x, CB = 2x, and CD =
. CB is equal to 6 so 2x = 6, x = 3.
