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If 5^(3x)=\ 125\ and 10^y=0. 001 find x...

If `5^(3x)=\ 125\ ` and `10^y=0. 001` find `x\ a n d\ y` C

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here `5^(3x)=125`
`5^(3x)=(5)^3`
comparing both sides
we get
`3x=3`
`x=1`
Again
`10^y=0.001`
`10^y=10^(-3)`
Comparing both sides
we get
`y=-3`
Hence
`x=1`and`y=-3`
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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
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  2. If 3^(4x)=(81)^(-1) and 10^(1/y)=0. 0001 , find the value of 2^(-x+4y)

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  3. If 5^(3x)=\ 125\ and 10^y=0. 001 find x\ a n d\ y C

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  4. .Solve the following equations: (i)\ 3^(x+1)=27\ xx\ 3^4 \ (ii)4^(...

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  15. State the power law of exponents

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