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If log2=0.301 and log3=0.477, find the n...

If log2=0.301 and log3=0.477, find the number of integers in the number of zeroes after the decimal is `3^(-500)` .

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If log2=0.301 and log3=0.477, find the number of integers in 5^(200)

If log2=0.301 and log3=0.477, find the number of integers in (ii) 6^(20)

If log2=0.301 and log3=0.477, find the value of log(3.375).

If log2=0.301, the number of integers in the expansion of 4^(17) is

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Let S denotes the antilog of 0.5 to the base 256 and K denotes the number of digits in 6^(10) (given log_(10)2=0.301 , log_(10)3=0.477 ) and G denotes the number of positive integers, which have the characteristic 2, when the base of logarithm is 3. The value of SKG is

Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The value of q is

Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The value of p is

Suppose U denotes the number of digits in the number (60)^(100) and M denotes the number of cyphers after decimal, before a significant figure comes in (8)^(-296) . If the fraction U/M is expressed as rational number in the lowest term as p//q (given log_(10)2=0.301 and log_(10)3=0.477 ) . The equation whose roots are p and q, is

ARIHANT MATHS-LOGARITHM AND THEIR PROPERTIES-Exercise (Subjective Type Questions)
  1. If log2=0.301 and log3=0.477, find the number of integers in 5^(200)

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  2. If log2=0.301 and log3=0.477, find the number of integers in 6^(20)

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  3. If log2=0.301 and log3=0.477, find the number of integers in the numb...

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  4. If log2=0.301 and log3=0.477, find the value of log(3.375).

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  5. Find the least value of log2x-logx(0.125)for xgt1 .

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  6. Find values of lamda for which 1/log3lamda+1/log4lamdagt2 .

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  7. Solve the following equations. (i) x^(1+log10x)=10x

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  8. Solve the following equation. log2(9-2^x)=3-x

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  9. Solve the equation 2x^(log(4)^(3))+3^(log(4)^(x))=27

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  10. Solve the following equation. log4log3log2x=0

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  11. Solve the following equations.x^((log10x+5)/3)=10^(5+log10x)

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  12. Solve the following equation. log3(log9x+1/2+9^x)=2x

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  13. Solve the following equation. 4^(log10x+1)-6^(log10x)-2.3^(log10x^2+2...

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  14. Solve the following equation. (log10(x-3))/log(10)(x^2-21)=1/2

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  15. Solve the following equations. x^(log2x+4)=32

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  16. Solve the following equations. logax=x, where a=x^(logax)

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  17. Solve the following equations. (xi) log(sqrt2sinx)(1+cosx)=2

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  18. A rational number which is 50 times its own logarithm to the base 10, ...

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  19. [2/log4(2000)^6+3/log5(2000)^6]

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  20. Find the value of x satisfying loga{1+logb{1+logc(1+logpx)}}=0.

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