How will the graph of log x compare to the graph of ln x?

Step-by-step explanation:

Logx means log of base 10

And In(x) means natural logarithm of base e

When will log and In(x) be equal

They are equal at x = 1,

So, log1 = 0 and In(1) = 0

So they intercept at x = 1

Also, it is notice from the graph that the log of their negative numbers are undefined as x<-1 for Logx and x<-3 for In(x)

Check attachment to compare the graphs

It is notice that

In(x) is increasing at a faster rate as x increases

Logx is stretched more as x increases.

So, the major difference between them is that the natural logarithm In(x) increases at a faster rate than the common logarithmic (Logx)

The red line indicates In(x)

The blue line indicates Logx

4

step-by-step explanation:

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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