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Solve the equation: log(2x+3)x^(2) lt lo...

Solve the equation: `log_(2x+3)x^(2) lt log_(2x)(2x+3)`

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This inequation is equivalent to the collection of the systems

Hence, solution of the original inequation is `x in (-3/2,-1) cup (-1,0) cup (0,3)`
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ALLEN-BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -ILLUSTRATIONS
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  2. Solve the following - (a)" " log(2)xle(2)/(log(2)x-1)" "

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  3. Solve the equation: log(2x+3)x^(2) lt log(2x)(2x+3)

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  4. Solve for x:2^(x+2) gt (1/4)^(1/x)

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  5. Solve for x: (1.25)^(1-x) gt (0.64)^(2(1+sqrt(x))

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  6. Show that log(4)18 is an irrational number.

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  9. If sintheta+sin^(2)theta=1, then prove that cos^(12)theta+3cos^(10)the...

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  10. 4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta)is equal to

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  11. If sintheta=-1/2 and tantheta=1/sqrt(3) then theta is equal to,

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  12. Prove that sqrt(3) " cosec "20^(@)-sec 20^(@)=4

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  13. Prove that tan 70^(@)=cot70^(@)+2cot40^(@)

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  14. If sin 2A=lambda sin 2B, prove that : (tan (A+B))/(tan(A-B)) = (lambda...

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  17. Prove that (2cos2A+1)/(2cos2A-1)=tan(60^0+A)tan(60^0-A)dot

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  18. Prove that: tanA + tan(60^(@)+A) + tan(120^(@)+A)=3tan3A

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  19. sin(671/2)^(@) + cos(671/2)^(@) is equal to A) 1/2sqrt(4+2sqrt(2)), ...

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