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
You first do 3 + 2, which would equal 5. Then, you would just do 3/5.
Let Issac work for x hours, and Ruby works 8 hours more than of Issac, so Ruby work for hours.
And Svetlana worked four times of Ruby, therefore Svetlana worked for
And total hours they worked together is 136. That is
So Issac worked for 16 hours, Ruby worked for 24 hours and Svetlana worked for 24 times 4 equals 96 hours .
Answer:
a
Step-by-step explanation:
If 24 students went on a field trip, and 24 students represented eight tenths of the class, then
.
First, multiply by 10 on both sides.
240 = 8x
Divide by 8 on both sides.
x = 30.
The class has 30 students in all.
This is, however, only the equation way to solve.