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anonymous

  • 5 years ago

How do I graph the function, g(x) = 2log(base 3) (x+2) +3 ?

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  1. anonymous
    • 5 years ago
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    looks more or less like the graph of y = ln(x) only shifted up two 3 units and to the left two units. if you have to do it for a class you should plot a couple points. choose them so when you add 2 you get a power of three. for example \[x=-1\] \[g(-1)=2log_3(-1+2)+3=2log_3(1)+3=0+3=3\]

  2. anonymous
    • 5 years ago
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    thank you!!!

  3. anonymous
    • 5 years ago
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    \[x=1\] \[g(1)=2log_2(1+2)+3=2log_3(3)+3=2\times 1 +3=5\]

  4. anonymous
    • 5 years ago
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    hope it is clear what y = ln(x) looks like if not google it to get a nice picture. also hope it is clear why \[log(1)=0\] and why \[log_3(3)=1\]

  5. anonymous
    • 5 years ago
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    so you want your input to be a power of 3. pick x = 7 to get input of 9 etc. also typo in my first line. i meant up 3, left 2

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