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If loge((a+b)/2)=1/2(loge a+loge b), the...

If `log_e((a+b)/2)=1/2(log_e a+log_e b),` then find the relation between `a and b dot`

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CENGAGE PUBLICATION-LOGARITHM-All Questions
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  2. If xa n dy are real numbers such that 2log(2y-3x)=logx+logy ,then fin...

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  3. If loge((a+b)/2)=1/2(loge a+loge b), then find the relation between a ...

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  4. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to

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  5. The value of loga b-log|b|=

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  6. If (21. 4)^a=(0. 00214)^b=100 , then the value of 1/a-1/b is

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  7. Given that log(2)=0. 3010 , the number of digits in the number 2000^(...

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  8. The number of N=6-(6(log)(10)2+(log)(10)31) lies between two successi...

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  9. (log)4 18 is

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  10. Solve: (log)((2x+3))(6x^2+23x+21)+(log)((3x+7))(4x^2+12 x+9)=4

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  11. Given aa n db are positive numbers satisfying 4(log(10)a)^2+((log)2b)...

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  12. If ((log)a N)/((log)c N)=((log)a N-(log)b N)/((log)b N-(log)c N),w h e...

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  13. If (log)b a(log)c a+(log)a b(log)c b+(log)a c(log)bc=3 (where a , b ,...

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  14. Solve for: x :(2x)^((log)b2)=(3x)^((log)b3) .

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  15. Let a=(log)3(log)3 2. An integer k satisfying 1<2^(-k+3^((-a)))<2, mus...

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  16. The value of 6+(log)(3/2)[1/(3sqrt(2)) * sqrt{ (4 - 1/(3sqrt(2))) sqr...

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  17. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

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  18. If f(x)=log((1+x)/(1-x)),t h e n (a)f(x1)f(x2)=f(x1+x2) (b)f(x+2)-...

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  19. If a , b , c are consecutive positive integers and log(1+a c)=2K , the...

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  20. If (a+(log)4 3)/(a+(log)2 3)=(a+(log)8 3)/(a+(log)4 3)=b ,then b is eq...

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