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If 3^(x-1)=9 and 4^(y+2)=64 , what is th...

If `3^(x-1)=9` and `4^(y+2)=64` , what is the value of `x/y\ ?`

Text Solution

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`3^(x-1)=9`
`3^(x-1)=3^2`
`x-1=2`
`x=3`
And,
`4^(y+2)=64`
`4^(y+2)=4^3`
`y+2=3`
`y=1`
Now,
`x/y=3/1`
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RD SHARMA-EXPONENTS OF REAL NUMBER-All Questions
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  2. If 2^4\ xx\ 4^2=16^x , then find the value of x ?

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  3. If 3^(x-1)=9 and 4^(y+2)=64 , what is the value of x/y\ ?

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  4. Write the value of root(3)(7)\ xx\root(3)( 49)

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  5. Write (1/9)^(-1/2)\ xx\ (64)^(-1/3) as a rational number.

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  6. Write the value of root(3)(125)\ xx\ root(3)(27)

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  7. The value of {2-3(2-3)^3}^3 is 5 (b) 125 (c) 1/5 (d) -125

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  8. (256)^(0. 16)xx(256)^(0. 09)=? 4 b. 16 c. 64 d. 256. 25

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