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OLEGan [10]
3 years ago
14

Function inverse of f(x) = 3 log2x

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
6 0
<span>f(x) = 3 log2x
</span><span>y = 3 log2x

log2x =y/3

</span>10^{ \frac{y}{3} } = 2x&#10;\\ \\ x=  \frac{1}{2}* 10^{ \frac{y}{3} }&#10;\\ \\ y = \frac{1}{2}* 10^{ \frac{x}{3} } \ inverse  \ function<span>
</span>
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In the triangle ABC, the height AN = 24 in, BN = 18 in, AC = 40 in. Find AB and BC.
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Step-by-step Answer:

AN is height, so A is perpendicular to BC.  (See image attached).

BN = 18

AN = 24

AC = 40

All as labeled.

ABN is a right triangle, with AB = sqrt(18^2+24^2)=sqrt(324+576)=30

ACN is a right triangle, with CN = sqrt(40^2-24^2)=sqrt(1600-576) = 32

=>

BC = BN + NC = 18 + 32 = 50

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