Question Number 100832 by student work last updated on 28/Jun/20

log(√(125)) ∙ln10 ∙log_5 e=?  help me

Commented bystudent work last updated on 28/Jun/20

what is the practice sir?

Commented bystudent work last updated on 28/Jun/20

thanks sir

Commented byDwaipayan Shikari last updated on 29/Jun/20

(3/2)ln10   But if the base is 10 then (3/2)log_(10) 10=(3/2)

Answered by 1549442205 last updated on 29/Jun/20

Applying the property of logarithm:  log_a b×log_b c=log_a c we have:  Log_5 e×ln10.log(√(125))=log_5 10×log_(10) (√(125))  log_5 (√(125))=log_5 5^(3/2) =(3/2)  Result equal to  (3/2)  If log(√(125)) isn′t base 10 then equal to  log_5 10×log(√(125))=(3/2)log_5 10×log5=  (3/2)log_x 5×log_5 10=(3/2)log_x 10

Commented byDwaipayan Shikari last updated on 28/Jun/20

Sir the base is not 10