`5^[2+log_5[10]] =?`

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

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

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

Which of the following is(are) non-negative ? a. log_3(log_(1/7) (1/6)), b. 5^(log_2 3- 7^log_3 2, c. (log_(10) 5)^2-(log_(10) 2)^2+log_(10) 4-1, d. (log_(0.01)2)^(1/3)

log10 - log5

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_5 72=2.6572

Given that log_10 2=.3010 , log_10 3=.4771 , log_10 4=.6021 , log_10 5-.6990 , log_10 10=.7782 ,then prove that log_6 5=.8982

What is the value of [ log _(10) ( 5 log _(10) 100) ] ^(2) ?

If log_(10)2= 0.3010 , then log_(10)5 = _______