When solving an equation involving logs, I've gotten this far
4 = Log5x/log625x
four is equal to log (base 5) x over log (base 625) x
I know x is equal to 25. But how do I get to that answer not using guess and check?
Since 625 = 5^4, then the change-of-base formula can prove helpful:
. . . . .
Then apply a log rule and the definition of logs to convert to just "4".