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Jobisdone [24]
3 years ago
7

Can you friend me plz???

Health
1 answer:
andrezito [222]3 years ago
5 0

Answer:

Explanation:

Sure I'll be your friend! When do you want to talk? or go on z.o.o.m?

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Answer:

Proof of \dfrac{1}{z}}=\dfrac{1}{y}+\dfrac{2}{x}  is shown below.

Explanation:

The given equation is

2^x=3^y=12^z

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Proof : Let as assume,

2^x=3^y=12^z=k

2^x=k\Rightarrow 2=k^{\frac{1}{x}}    ...(1)

3^y=k\Rightarrow 3=k^{\frac{1}{y}}      ...(2)

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We know that

12=2\times 2\times 3

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Using (1), (2) and (3), we get

k^{\frac{1}{z}}=(k^{\frac{1}{x}})^2\times k^{\frac{1}{y}}

k^{\frac{1}{z}}=k^{\frac{2}{x}}\times k^{\frac{1}{y}}

k^{\frac{1}{z}}=k^{\frac{2}{x}+\frac{1}{y}}

On comparing both sides, we get

\dfrac{1}{z}}=\dfrac{2}{x}+\dfrac{1}{y}

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Hence proved.

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