`log_10 x / log_10 e`

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)

If (1 + 3 + 5 + .... " upto n terms ")/(4 + 7 + 10 + ... " upto n terms") = (20)/(7 " log"_(10)x) and n = log_(10)x + log_(10) x^((1)/(2)) + log_(10) x^((1)/(4)) + log_(10) x^((1)/(8)) + ... + oo , then x is equal to

log4^2_10 + log4_10

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:

If log_(10)x +log_(10)y le 2 then smallest possible value of x + y is P . Then (P)/(10) is

Write each of the following as single logarithm: (a) 1+ log_(2) 5" "(b) 2- log_(3) 7 (c) 2log_(10) x+3 log_(10) y - 5 log_(10) z

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

Find domain of the function log_10 log_10 log_10 log_10 log_10 x