Question in picture(explain if u can it helps alot)
2 answers:
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Answer: 33 students wore blue jeans .
Step-by-step explanation:
Let x be the number of black pants.
Given : For the choir concert, the choir director has asked that everyone wear either black pants or blue jeans.
Three times as many students wore black pants as blue jeans.
i.e. Number of blue pants = 4x
If there are forty-four students in the choir, then we have
Divide both sides by 4 , we get
Thus , the number of black pants = 11
Then , the number of blue pants =
Therefore, 33 students wore blue jeans .
Answer:
a =
Step-by-step explanation:
Given:
f(x) = log(x)
and,
f(kaa) = kf(a)
now applying the given function, we get
⇒ log(kaa) = k × log(a)
or
⇒ log(ka²) = k × log(a)
Now, we know the property of the log function that
log(AB) = log(A) + log(B)
and,
log(Aᵇ) = b × log(A)
Thus,
⇒ log(k) + log(a²) = k × log(a) (using log(AB) = log(A) + log(B) )
or
⇒ log(k) + 2log(a) = k × log(a) (using log(Aᵇ) = b × log(A) )
or
⇒ k × log(a) - 2log(a) = log(k)
or
⇒ log(a) × (k - 2) = log(k)
or
⇒ log(a) = (k - 2)⁻¹ × log(k)
or
⇒ log(a) = (using log(Aᵇ) = b × log(A) )
taking anti-log both sides
⇒ a =