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about to only mathematics

A

`9//5`

B

4

C

5

D

`8//5`

Text Solution

Verified by Experts

The correct Answer is:
A
Given ` 4 log_(a) a+5log_(a) b =0`
` rArr log_(a) b = -4//5` …(i)
Now ` log_(a)(a^(5)b^(4)) = 5+4 log_(a) b = 5 + 4 (-4/5)`
` = 5 - 16/5 = 9/5`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
  1. (log)(x-1)x (log)(x-2)(x-1) .....(log)(x-12)(x-11)=2,x is equal to:

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  2. 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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  3. about to only mathematics

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  4. The value of 3^((log)4 5)-5^((log)4 3) is

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  5. 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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  6. The value of x satisfying sqrt3^(-4+2log(sqrt5)x)= 1//9 is

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  7. The value of x satisfying the equation 3sqrt(5)^(log)5 5^(((log)5(log)...

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  8. If sqrt((log)2x)-0. 5=(log)2sqrt(x ,) then x equals (a)odd integer (...

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  9. If log(y) x + log(x) y = 2, x^(2)+y = 12 , then the value of xy is

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  10. সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(logx 83)।

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  11. Solve (x+1)^(log(10) (x+1))=100(x+1)

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  12. If log2x+logx2=10/3=log2y+logy2 and x!=y ,then x+y=

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

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  14. If (log)3{5+4(log)3(x-1)}=2, then x is equal to

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  15. If 2x^((log)4 3)+3^((log)4x)=27 , then x is equal to 2 (b) 4 (c) 8 (d...

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  16. The equation log4(3-x)+log(0.25)(3+x)=log4(1-x)+log(0.25)(2x+1) has

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  17. The value of b for which the equation 2(log)(1/(25))(b x+28)=-(log)5(1...

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  18. If the equation 2^x(1-2^x)+4^y=2^y is solved for y in terms of x where...

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  19. Solve the equation x^(logx(x+3)^2 )=16

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  20. The product of roots of the equation (log(8)(8//x^(2)))/((log(8)x)^(2)...

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