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
Hi!
To find the semmetry between the nonagon just do this:
360 / 9 = 40
The regular nonagon has rotational symmetry of 40 degrees!
Answer: A add the equations and C: Subtract the bottom equation from the top equation.
Step-by-step explanation: By adding the equations, you are left with
12x=8 which successfully eliminates the y values and subracting the bottom equation from the top equation.
Hope this helps! :)
Answer: C) Find the factors of c that add up to b.
==============================================
Explanation:
If we want to factor something in the form x^2+bx+c, then we look for two numbers that
-------------
Let's look at a specific example
Consider factoring x^2+5x+6
We need to find two numbers that...
- Multiply to c = 6
- Add to b = 5
Through trial and error, you should find the two numbers to be 3 and 2. This means it factors to (x+3)(x+2). The order of the factors doesn't matter.
You can use the FOIL rule or the box method to expand out (x+3)(x+2). You should get x^2+5x+6 again.
