Given a polynomial f(x), if (x + 3) is a factor, what else must be true?
2 answers:
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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:
see explanation
Step-by-step explanation:
Using the cosine and tangent ratios in the right triangle
cos41° = =
=
Multiply both sides by VX
VX × cos41° = 7 ( divide both sides by cos41° )
VX = ≈ 9.3
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tan41° = =
=
Multiply both sides by 7
7 × tan41° = WX, thus
WX ≈ 6.1
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The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180° for ∠ X
∠ X = 180° - (90 + 41)° = 180° - 131° = 49°