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
The correct expressions are:
5.3d
5d+0.3d
5(d+0.06d)
Since he is purchasing 5 towels that have a cost of d dollars each, the cost of the towels is given by 5d.
However, to add 6% tax, we multiply this by 0.06 and add it to the price without tax:
5d+0.06(5d)
Simplifying this, we have 5d+0.3d = 5.3d.
All of the correct answers simplify to this expression.
Answer:
(3,2)
Step-by-step explanation:
If you graph the equations, they cross at this point.
What's factoring 8 but not a multiple of 4. 8 and 4
Answer:
10
Step-by-step explanation:
Based on the given conditions, formulate: \(28 \times ( 1 - 65\% )\)
Calculate the sum or difference:\(28 \times 0.35\)
Calculate the product or quotient:\(9.8\)
Find the closest integer: 10
Answer: 10
