log4^2_10 + log4_10

Solve the equations log_1000 |x+y| = 1/2 . log_10 y - log_10 |x| = log_100 4 for x and y

if (1+3+5-...upto n terms)/(4+7+10+...upto n terms)=20/(7log_10 X and n = log_10 x + log_10 X^1/2 + log_10 X^1/4 + ............ + oo , then x is equal to

log_10⁡ a + log_10 ⁡b = log_10⁡ (a+b)

Evaluate each of the following without using tables : (i) log 5 + log 8 - 2 log 2 (ii) log_(10) 8 + log_(10) 25 + 2 log_(10)3 - log_(10) 18 (iii) log 4 + (1)/(3) log 125 - (1)/(5) log 32

The value of (log_(10)2)^(3)+log_(10)8 * log_(10) 5 + (log_(10)5)^(3) is _______.

If x,yinR^+ and log_10(2x)+log_10y=2 , log_10x^2-log_10(2y)=4 and x+y=m/n ,Where m and n are relative prime , the value of m-3n^(6) is

Find domain of the function log_10 log_10 log_10 log_10 log_10 x

The sum of all the values of a satisfying the equation |[log_10 a,-1],[log_10(a-1),2]|=log_10 a+log_10 2

Find the domain of the function f(x)=log_10((log_10 x^2)-5log_10 x+6)

if log_10 5=a and log_10 3=b then: