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Let g(x) = 2ln(x)+3ln(x+4). Find the x intercept?

Let g(x) = 2ln(x)+3ln(x+4). Find the domain of g. Graph y=g(x). Identify the asymptote(s). Identify the intercept(s) accurate to 2 decimal places. Solve g(x) = 1 accurate to one decimal place.

I'm fine with everything but the intercepts, I keep getting that one wrong. I know that there is no y intercept, but how do I find the x intercept? Please show work so I can understand how to do it

-3ln4=

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  • 5 years ago
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    0 = 2ln(x) + 3ln(x + 4)

    0 = ln(x^2) + ln((x + 4)^3)

    0 = ln(x^2*(x + 4)^3)

    x^2*(x + 4)^3 = 1

    Now solve for x.

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