Verified answer

I hope you mean 5 is the base.. otherwise just stop reading my answer right now :)

and also, i've taken it as an equation, so that it's equal to x .... dunno if that's what you wanted though

let,

log5 (625*25) = x

basically, this is asking.. 5^x = 625*25

5^x = 5^4 * 5^2

5^x = 5^6

since bases are same, equate the powers..

x = 6

Hope this helped :)

625*25

= 5^4 X 5^2

= 5^6, so:

log5(625*25) = 6

change it to. 25log5(625) work out 25 to the power of what is 625. And its like log5(2 or something)

625*25=(5^4)*(5^2)

=5^6

so log5(5^6)=6

log(625*25)=log(5^4*5^2)=log(5^6)=6