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Question

If xϵR and 3x+3x=log59 then the value of x equals

A
2
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B
3
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C
9
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D
None of these
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Solution

The correct option is C None of these
3x+3x=log59
3x+13x=log59
3x+13x=2.log53=2.log103log105
3x+13x=2.(0.4771)1log102
Take 3x=t
t+1t=2×{0.47710.6990}<2
t+1t<2Not possible
Hence, no solution for x.

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