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If x = ( 1.5) ^(10) then characteristic ...

If `x = ( 1.5) ^(10)` then characteristic of `log _(10) x` is (Given that` log _(10) 2 = 0. 301 and log _(10) 3 = 0. 477`)

A

`-1`

B

0

C

1

D

2

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The correct Answer is:
C
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CENGAGE-LAWS OF EXPONENTS AND LOGARITHMS -TEST YOURSELF (LEVEL 3) (MULTIPLE CHOICE QUESTIONS)
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  3. If ( 2 log x )/( log 10) = ( log 9)/( log 3) and log (y ^(3)) 27 =1 th...

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  4. If log (10) 11 = a then value log (10) ((1)/( 110 )) is equal to

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  5. The value of (81) ^( log (5) 5) is

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  6. If log 27 = 1. 431 then the value of log 81 is

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  7. If log "" (x + y)/(2) = (1)/(2) (log x + log y) then (c gt 0, y gt 0 ...

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  8. The value of (1)/( log (sqrtbc) abc) + (1)/( log (sqrt ca) abc) + (1)...

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  9. If log (a ^(2)) (a ^(2) + 1) = 8 then value of log (a ^(15)) ( a + (1...

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  10. If m and n are whole numbers such that m ^(n) = 1331 then the value of...

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  11. If (a)"" ^((log a + 5)/( 3)) = (10) ^( 5 + log a) then value of a is (...

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  12. If log (2) x + log (2) y = 2 + log (2) 3 and log (16) (x + y) = 3//4 t...

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  13. Value of (log (3) ( 135))/( log (15) (3))- ( log (3) (5))/( log ( 405)...

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  14. If x = ( 1.5) ^(10) then characteristic of log (10) x is (Given that l...

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  15. If log (ab) a =b then value of log (ab) ""( 3 sqrt a )/( sqrt b) is

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  16. If log 25 = a and log 225 = b then value of log ((1)/(9)) is

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  17. If 2^( log (2) x ^(2)) - 3 ^( log (9) 36)= 10 then e value of x is

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  18. If x ^(log x + 4) = 343 then value of x is (bas f log is 3)

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  19. If log (10) 2 = 0.3010 the number of digits in 2 ^(75) is

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  20. If log (10) 3. 456 = 0.15386 then the value of log (10) = 345.6 is

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