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Alex17521 [72]
3 years ago
8

Solve for x using technology 2 log 3(x-1)=log(4 x 2-25)

Mathematics
1 answer:
bagirrra123 [75]3 years ago
3 0
<span>2 log 3(x-1)=log(4 x 2-25)
1.  Determine the domain.  Since the input to the log function cannot be zero or negative, 4x^2-25 must be </span>≥ 0.  Thus, x^2 must be >0, or x>0.  Same domain applies to log (3(x-1); x must be > 0.
2.  Rewrite <span>2 log 3(x-1) as log 3(x-1)^2.
3.  Then we have </span>log 3(x-1)^2 = log(4 x 2-25).  We can discard the operator "log" from both sides:   3(x-1)^2 = 4 x 2-25.  There are various ways in which to solve this.  Since you're supposed to "use technology," 
graph y = 3(x-1)^2 and y = 4x^2 - 25 on the same set of axes.  Determine, using visual estimation or your calculator's tools, the value or values of x that satisfy this equation.  My result was x=3, y =11.


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Step-by-step explanation:

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3 0
2 years ago
Find the range of F<img src="https://tex.z-dn.net/?f=f%28x%29%3D%20%5Cfrac%7B2%7D%7Bx-7%7D%20" id="TexFormula1" title="f(x)= \fr
steposvetlana [31]
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6 0
3 years ago
Hat is the value of the expression –5x4 when x = –2?
sleet_krkn [62]

\bold{Hey\ there!}

\bold{Assuming,\ you\ meant: -5(-2)^4}

  • \bold{If\ so\ follow\ these\ steps\downarrow}
  • \bold{(-2)^4=16}
  • \bold{(-5)\times 16=-80}
  • \boxed{\boxed{\bold {Thus,\ your\ answer\ is: -80}}}\checkmark

\bold{Good\ luck\ on\ your\ assignment\ \& \ enjoy\ your\ day!}

~\frak{LoveYourselfFirst:)}

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sveta [45]

Answer:

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<u>Unit Conversion</u>

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Now convert to inches dividing by 2.54:

1300 / 2.54 \approx 512

Answer: 512 inches

3 0
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