Home
Class 12
MATHS
Let N=10^(log2-2 log(log10^3)+log(log10^...

Let `N=10^(log2-2 log(log10^3)+log(log10^6)^(2))` where base of the logarithm is 10. The characteristic of the logarithm of `N` to the base 3, is equal to (a) 2 (b) 3 (c) 4 (d) 5

Text Solution

AI Generated Solution

Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • LIMITS AND DERIVATIVES

    BANSAL|Exercise All Questions|436 Videos
  • MASTER PRACTICE PROBLEM

    BANSAL|Exercise Match the column|48 Videos

Similar Questions

Explore conceptually related problems

log(log x)+log(log x^(3)-2)=0; where base of log is 10 everywhere.

log_(10)3+log_(10)2-2log_(10)5

Let a=log_(67)9 and b=log_(sqrt(3))71. If (2)/(a)+(b)/(2)=log_(3)N then find the characterstic of logarithm of N to the base 10

Show that sqrt(10^(2+((1)/(2)log16)))=20, where the base of log is 10.

9^(1+log x)-3^(1+log x)-210=0 where the base of log is 10

If N= anti log _(3)(log_(6)(antilog_(sqrt(5))(log_(5)(1296))) then the characteristic of log N to the base 2 is equal to

3^(log x)-2^(log x)=2^(log x+1)-3^(log x-1), where base is 10,

Let x=2^(log3) and y=3^(log2) where base of the logarithm is 10, then which one of the following holds good.(A) 2x

If log(xy^(3))=1 and log(x^(2)y)=1, then the value of xy is equal to (where base of the logarithm is 32)

Let x=(0.15)^(20). Find the characteristic and mantissa of the logarithm of x to the base 10 . Assume log_(10)2=0.301 and log_(10)3=0.477