REAL NUMBERS

JEE Advanced Sample Questions › Class VII-X Mathematics questions › REAL NUMBERS

if,
2^x=3^y=6^-z,then what is the value of
1x+1y+1z..........?????
plz do reply fast........

#Mathematics #Class VII-X Mathematics

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5 Answers

269

Astha Gupta ·2013-05-23 00:59:00

any one...??????

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2305

Shaswata Roy ·2013-05-23 02:22:05

Let 2^x=3^y=6^-z=k

\large \mathbf{2=k^{\frac{1}{x}},3=k^{\frac{1}{y}},6=k^{\frac{-1}{z}}}

Now try to find \large \mathbf{k^{\frac{1}{x}+\frac{1}{y}+\frac{1}{z}}}

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269

Astha Gupta ·2013-05-23 05:32:12

i think...it must b smthng lyk..
k^1x x k^iy x k^-1z

=2x3x16
=6
i dont knw whether this is right or not.....????
kindly check it....

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Shaswata Roy 2x3x1/6=1 not 6
Upvote·0· Reply ·2013-05-23 06:06:25
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2305

Shaswata Roy ·2013-05-23 06:09:26

\large \mathbf{k^{\frac{1}{x}+\frac{1}{y}+\frac{1}{z}}=\frac{2\times 3}{6}=1=k^{0}}

\rightarrow \mathbf{\frac{1}{x}+\frac{1}{y}+\frac{1}{z}=0}

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269

Astha Gupta ·2013-05-23 09:01:49

oh...ya....u r right....dat was 1 not 6..........n d rest of d part i understood....thanks a lot.....

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