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kondor19780726 [428]
3 years ago
6

What is used to make hummus : lettuce, celery or chickpeas ?

Health
1 answer:
Naya [18.7K]3 years ago
3 0
Chickpeas are used to make hummus
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If 2^x=3^y=12^z, show that 1÷z=1÷y+2÷x.....​
Ostrovityanka [42]

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

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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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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}

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

Hence proved.

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