Answer:
A school had 400 girls last year and the number of boys was 95 more than that of the girls. This year the number of girls had in
2 answers:
Answer:
1/11
Step-by-step explanation:
The number of boys in school last year will be .
We are told that next year number of girls increased by 1/5. Next year number of girls in the school will be .
We are told that next year number of boys was 30 less than number of girls. So next year number of boys will be .
To find the factor at which number of boys reduced we will find the difference of number of boys between both years and divide by initial number of boys.
Therefore, number of boys had been reduced by 1/11.
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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 =
Step-by-step explanation:
Explanation is in the attachment
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