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Find the value of 49^((1-log7(2)))+5^(-l...

Find the value of `49^((1-log_7(2)))+5^(-log_5(4)` is

A

10.5

B

11.5

C

12.5

D

13.5

Text Solution

Verified by Experts

The correct Answer is:
C
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Let L denote antilog 320.6 and M denote the number of positive integers which have the characteristic 4, when the base of log is 5, and N denote the value of 49^((1-log_(7)2))+5^(-log_(5)4) Find the value of (LM)/(N) .

Let M denote antilog ""_(32) 0.6 and N denote the value of 49^((1-log_(7)2))+5^(-log_(5)4) . Then M.N is :

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ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Single Option Correct Type Questions)
  1. If log(10)2=0.3010..., the number of digits in the number 2000^(2000)...

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  2. There exists a positive number k such that log2x+ log4x+ log8x= logkx...

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  3. If x1,x2 & x3 are the three real solutions of the equation x^(log10^2...

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  4. If f(n)=prod(i=2)^(n-1)logi(i+1), the value of sum(k=1)^100f(2^k) equa...

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  5. If log(3)27.logx7=log(27)x.log(7)3, the least value of x is

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  6. If x=log5(1000) and y=log7(2058),then

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  7. Solve for x log5 120 + (x - 3) - 2*log5 (1- 5^(x - 3)) = - log5 (0.2 ...

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  8. If xn > x(n-1) > ..........> x3 > x1 > 1. then the value of log(x1) [...

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  9. If (x(y+z-x))/(logx)=(y(z+x-y))/(logy)(z(x+y-z))/(logz),p rov et h a ...

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  10. If y=a^(1/(1-logax)), z=a^(1/(1-logay)) then prove that x=a^(1/(1-loga...

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  11. If (log)(0. 3)(x-1)<(log)(0. 09)(x-1), then x lies in the interval (2,...

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  12. The value of a^x-b^y is (wherex=sqrt(logab)and y=sqrt(logba),agt0,bgt0...

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  13. If x=1+log(a) bc, y=1+log(b) ca, z=1+log(c) ab, then (xyz)/(xy+yz+zx) ...

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  14. The value of a^((logb(logbx))/(logb a)), is

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  15. Find the value of 49^((1-log7(2)))+5^(-log5(4) is

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  16. The number of real values of the parameter k for which the equation ("...

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  17. The number of roots of the equation x^(logX(x+3)^2)=16 is

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  18. The point on the graph y=log2log6{2^sqrt(2x+1)+4} whose y coordinate i...

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  19. Given ,log2=0.301 and log3=0.477, then the number of digits before dec...

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  20. The values of x, satisfying the equation for AA a > 0, 2log(x) a + lo...

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