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সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(l...

সমাধান করো : `4^(log_9 3)+9^(log_2 4)=10^(log_x 83)`।

A

a.2

B

b.3

C

c.10

D

d.30

Text Solution

Verified by Experts

The correct Answer is:
C
`(4)^(log_(9)3)+(9)^(log_(2)4)=(10)^(log_(x)83)`
` or (4)^(1/2log_(3)3)+(9)^(2log_(2)2)=(10)^(log_(x)83)`
`or 2+81 = (10)^(log_(x) 83)`
`or 83 = (10)^(log_(x) 83)`
` rArr x = 10`
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CENGAGE PUBLICATION-LOGARITHM AND ITS PROPERTIES-Exercises (Single Correct Answer Type)
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  3. সমাধান করো : 4^(log9 3)+9^(log2 4)=10^(logx 83)।

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  15. The number of roots of the equation (log)(3sqrt("x"))x+(log)(3x)sqrt(x...

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  18. If xy^(2) = 4 and log(3) (log(2) x) + log(1//3) (log(1//2) y)=1 , then...

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  19. If x1a n dx2 are the roots of the equation e^2 x^(lnx)=x^3 with x1> x2...

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