Answer:
x = 2
x = -3/2 or -1.5
Step-by-step explanation:
For this, I would use the "slip and slide" method. LOL I know the name is cheesy, but that's what my teacher called it!
First, you "slip" the coefficent of the leading term (2) to the constant, and multiply.
The equation becomes:
x² - x - 6(2) = 0
x² - x - 12 = 0
Then, you factor this out by looking at the second and third terms. You're looking for 2 factors of -12 that would add up to -1 ( the coefficent of the second term).
Automatically, think of 3 and 4, because the difference between them is 1.
The factors must be (x-4) and (x+3) because they multiple to -12, and add up to -1.
This step is extremely important! Lol I used to forget it a lot, but make sure you divide the constant in each factor by the original number you "slipped".
It would become (x-(4/2))(x+3/2) = (x-2)(x+3/2)
With (x+3/2), you don't want to leave it as a fraction or decimal. It's equivalent to (2x+3). However, the informal form is easier to identify the value of x.
(wouldn't this be English?)
The true purpose of homework to me is to learn more and to help you remember what you have learned.
Answer:
D) log₁₀20x⁵-1 and E) log₁₀(2x⁵)
Step-by-step explanation:
5log₁₀x+log₁₀20-log₁₀10
5log₁₀x+log₁₀20-1
log₁₀x⁵+log₁₀20-1
log₁₀20x⁵-1 (Option D)
5log₁₀x+log₁₀20-log₁₀10
log₁₀20x⁵-log₁₀10
log₁₀(20x⁵/10)
log₁₀(2x⁵) (Option E)
