Rewrite log₅(x+3) into an equivalent expression using only natural logs
1 answer:
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-2m = 16m - 9
First, take '16m' from both sides.
Second, add '-2m - 16m' to get '-18m'.
Third, divide both sides by '-18'.
Fourth, change the fraction into a negative.
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.
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Seventh, divide the denominator by the GCF.
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Eighth, rewrite the fraction in simplest form.
Answer as fraction:
Answer as decimal:
First, take '16m' from both sides.
Second, add '-2m - 16m' to get '-18m'.
Third, divide both sides by '-18'.
Fourth, change the fraction into a negative.
Fifth, find the GCF of 9 and 18.
The GCF is 9.
Sixth, divide the numerator by the GCF.
Seventh, divide the denominator by the GCF.
Eighth, rewrite the fraction in simplest form.
Answer as fraction:
Answer as decimal:
Answer:
b. 4x^2 + 3x - 6
Step-by-step explanation:
The values of f(x) for the extremes of x are more positive than the value of f(x) for the middle x, so we know the parabola opens upward. That eliminates choice D.
It is probably easiest to evaluate the other expressions to see which one matches the given f(x) values. For the purpose, it is usually easier to use the Horner form of the equation.
a. f(-2) = (3(-2) +4)(-2) -6 = -2(-2) -6 = -2 ≠ 4
b. f(-2) = (4(-2) +3)(-2) -6 = -5(-2) -6 = 4 . . . . matches the given data point
c. Because (b) matches, we know this one will not.
The appropriate choice is B.
