Find
(i) `log_a 1`
(ii)`log_10 100`
(iii)`log_a x^m`

Properties of logarithmic function Property (1) log_a 1=0 (2) log_a a=1 (3) log_a (xy)=log_a|x|+log_a|y| (4) log_a(x/y)=log_a |x|-log_a |y|

Find the value of the following: (i) log_(10) 2 + log_(10) 5 (ii) log_(3) (sqrt(11)-sqrt2) + log_(3) (sqrt11+sqrt2) (iii) log_(7) 35 - log_(7) 5

Let log_(10)2=a and log_(10)3=b determine the following in term of a and b (i) log_(4)100+2log_(27)100 (ii) log_(144)sqrt(45)

(i)tan (logx)" "(ii)log sec x" "(iii) log sin.(x)/(2)

Evaluate 3 - log_(10)100

Find the domain of log _(10)log_(10)log_(10)log_(10)x

Find the value of : (log )_(10)100

If log_(10)(2),log_(10)(2^(x)+1),log_(10)(2^(x)-3) are in A.P then x is equal to (i)log_(2)(5)( ii) log_(2)(-1) (iii) log_(2)((1)/(5))( iv) log_(5)(2)

The value of log_(10)1 + log_(10) 10 + log_(10)100+ …….. log_(10)(10000000000)