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Solve the following inequation . (v) 3...

Solve the following inequation .
(v) `3^(log_3sqrt((x-1)))lt3^(log_3(x-6))+3`

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The correct Answer is:
`x gt 6`
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ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. Solve the following inequation . (iii) log(2)(2-x)ltlog(1//2)(x+1)

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  2. Solve the following inequation . (iv) log(x^2)(x+2)lt1

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  3. Solve the following inequation . (v) 3^(log3sqrt((x-1)))lt3^(log3(x-...

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  4. Solve the following inequation . (vi) log(1//2)(3x-1)^2ltlog(1//2)(x...

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  5. Solve the following inequation . (vii) log(10)x+2lelog10^2x

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  6. Solve the following inequation . (viii) log10(x^2-2x-2)le0

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  7. Solve the following inequation . (ix) logx(2x-3/4)gt2

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  8. Solve the following inequation . log(1//3)xltlog(1//2)x

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  9. Solve the inequation log(2x+3)x^(2)ltlog(2x+3)(2x+3)

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  10. Solve the following inequation . (xii) log2^2x+3log2xge5/2log(4sqrt2...

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  11. Solve the following inequation . (xiii) (x^2+x+1)^xlt1

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  12. Solve the following inequation . (xiv) log((3x^2+1))2lt1/2

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  13. Solve the following inequation . (xv) x^((log10x)^2-3log10x+1)gt1000

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  14. Solve the following inequation . (xvi) log4{14+log6(x^2-64)}le2

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  15. Solve the following inequation . (xvii) log2(9-2^x)le10^(log10(3-x))

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  16. Solve the following inequation . (xviii) loga((2x+3)/x)ge0 for (a) a...

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  17. Solve the following inequation . (xix) 1+log2(x-1)lelog(x-1)4

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  18. Solve the following inequation . (xx) log(5x+4)x^2lelog(5x+4)(2x+3)

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  19. Solve sqrt(logx(a x)^(1/5)+loga(a x)^(1/5))+sqrt(loga(x/a)^(1/5)+logx(...

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  20. It is known that x=9 is root of the equation.loglamda(x^2+15a^2)-logla...

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