Which expression are equivalent to the one below? check all that apply. log5 5+log5 125

B. 4

C. Log₅ 625

Step-by-step explanation:

When given the sum of two logarithms to the same base, let us say

LogₐB +LogₐC, Then, the sum is equivalent to Logₐ(B×C)

=Logₐ BC

The sum given in the question is Log₅5 + Log₅125

This is equivalent to Log₅(5×125)=Log₅625

Log₅625=4 (Since 625=5⁴, the log of 625 to base 5 is 4)

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

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