Alright, lets get started.
Suppose the smaller integer = n
So, larger integer will be = n+2
3 times of larger integer will be = 
smaller integer is added into this , so

The result is 2 less than 5 times of smaller integer, so

Both are equal so,


Rafael makde the mistake that he didn't put the larger integer into parenthesis like (n+2) , so three times will be 3 n + 6 as he got 3n + 2
So, the correct equation is

Solving the equation


So, saller integer is 8 and larger integer is 
So, both integers are 8 and 10. : Answer
Hope it will help :)
Answer:
Here
Step-by-step explanation:
Depending on the amount of the number listed on the graph shows the dot amount
You can convert (1/625) to an exponent, and it would be ideal to have 5 as the base of it because you want your log base to cancel it out. what i usually do in this case is just test out 5^1, 5^2, etc until i find one that matches the number i need. in this case because the number you're trying to work with is a small fraction, you'll want to use NEGATIVE exponents so it'll create a fraction instead of a large whole number:
5^-1 = 1/5
. . . keep trying those. . .
5^-4 = 1/625
so, because they're equal to one another, it'll be waaay easier after you substitute 5^-4 in place of 1/625
x = log₅ 5⁻⁴
log base 5 of 5 simplifies to 1. subbing in the 5^-4 gets rid of the log for you altogether, and your -4 exponent drops down:
x = -4 is your answer
if the exponent dropping down doesn't make sense to you, you can think of it in another way:
x = log₅ 5⁻⁴
expand the expression so that the exponent moves in front of the log function:
x = (-4) log₅ 5
then, still, log base 5 of 5 simplifies to 1, so you're left with:
x = (-4)1 or x = -4