Math, asked by sreejachackraborty, 8 months ago

do no. 10 .. plz plz tomorrow is my exam​

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Answers

Answered by baskaushal
2

Answer:

this is the perfect solution for this ...if satisfied mark me as the brainliest

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Answered by DiptayanBanerjee
1

Answer:

3^{x}= 5^{y}=45^{z}\\

Let this value be k

3^{x}=k\\=> 3=k^{1/x}\\

Also,

5=k^{1/y}\\45=k^{1/z}

We know,

45=9*5=3*3*5

Substituting the above values,

45=k^{1/x}*k^{1/x}*k^{1/y}

k^{1/z}=k^{2/x+1/y}

Therefore, by laws of Indices,

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

\frac{1}{z}=\frac{2y+x}{xy}

Rearranging the terms as,

x=\frac{2yz}{y-z}

(Q.E.D.)

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