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Solve for x: log(2)x le 2/(log(2)x-1)...

Solve for x: `log_(2)x le 2/(log_(2)x-1)`

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ALLEN-BASIC MATHS LOGARITHIM TRIGNOMETRIC RATIO AND IDENTITIES AND TRIGNOMETRIC EQUATION -ILLUSTRATIONS
  1. Evaluate: 81^(1//log(5)3) + 27^(log(9)36) + 3^(4//log(l)9)

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  2. Solve for x: a) log(0.5)(x^(2)-5x+6) ge -1, b) log(1//3)(log(4)(x^(2)-...

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  3. Solve for x: log(2)x le 2/(log(2)x-1)

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

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

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

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

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  8. If in a right angled triangle, a and b are the lengths of sides and c ...

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  9. If the arcs of same length in two circles subtend angles of 60^(@) and...

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

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  11. 4(sin^(6)theta+cos^(6)theta)-6(sin^(4)theta+cos^(4)theta)is equal to

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

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

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

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  15. If sin2A= lambda sin 2B prove that (tan(A+B)/tan(A-B))=(lambda+1)/(la...

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  16. (sin5theta+sin2theta-sin tehta)/(cos5theta+2cos3theta+2cos^(2)theta+co...

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  17. Prove that: s in 12^0s in 48^0s in 54^0=1/8dot

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

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

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

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