Question

Which of the following is equivalent to log base(25) 125?

a. 1.951
b. 2/5
c. 2/3
d. 3/2

Please show work or tell me how, thanks!

Answer 1

use the fact that is:\[\log_a(b)=c\]then:\[b=a^c\]

Answer 2

d
this is because the logrithmic function can still be written as log base(5^2) 5^3
a law in logrithm says log base (a^b)C^d=(d/b)log (base a)C
therefore we have; 3/2log(base 5) 5
remember that if a log number is thesame as the base, it is equal to 1
log(base 5)5=1
3/2(1)
3/2

Answer 3

ok thank u