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If 3^x=4^(x-1) , then x= (2(log)3 2)/(2...

If `3^x=4^(x-1)` , then `x=` `(2(log)_3 2)/(2(log)_3 2-1)` (b) `2/(2-(log)_2 3)` `1/(1-(log)_4 3)` (d) `(2(log)_2 3)/(2(log)_2 3-1)`

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1)`log_2^7` this term is positive
2)`log_0.2^3` this term is negative
3)`log_(1/3)^(1/5)` this term is positive
4)`log_4^3` this term is positive
5)`log_2^(log_2^9)` this term is positive.
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CENGAGE-LOGARITHM-Solved Examples And Exercises
  1. If a , b, c, … are in G.P. then 2a,2b,2c,… are in ….

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  2. Prove that number (log)2 7 is an irrational number.

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  3. If 3^x=4^(x-1) , then x= (2(log)3 2)/(2(log)3 2-1) (b) 2/(2-(log)2 3...

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  4. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  5. Solve x^((log)y x)=2a n dy^((log)x y)=16

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  6. Solve (log)(2x)2+(log)4 2x=-3//2.

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  7. If ageqb >1, then find the largest possible value of the expression (l...

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  8. Solve : 3^((log9 x))xx2 = 3sqrt(3)

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  9. Solve the inequality sqrt((log)2((2x-3)/(x-1)))<1

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  10. Find the number of solutions of equation 2^x+3^x+4^x-5^x=0

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  11. If y=a^(1/(1-(log)a x)) and z=a^(1/(1-(log)a y)),then prove that x=a^...

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  12. Solve (log)x2(log)(2x)2=(log)(4x)2.

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  13. Let a , b , c , d be positive integers such that (log)a b=3/2a n d(log...

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  14. Solve sqrt("log"(-x))=logsqrt("x"^2) (base is 10).

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  15. If (log)3{5+4(log)3(x-1)}=2, then x is equal to 4 (b) 3 (c) 8 (d) (...

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  16. If (log)(10)[1/(2^x+x-1)]=x[(log)(10)5-1] , then x= 4 (b) 3 (c) 2 ...

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  17. The value of x satisfying the equation 3sqrt(5)^((log5) 5^(((log)5(l...

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  18. If 2^(x+y)=6^ya n d3^(x-1)=2^(y+1), then the value of (log3-log2)(x-y)...

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  19. The value of 3^((log)4 5)-5^((log)4 3) is 0 (b) 1 (c) 2 (d) none of...

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  20. If a^4b^5=1 then the value of loga(a^5b^4) equals

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