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Answer: 11

Step-by-step explanation:

6 to the log of base 6 cancels out leaving you with 11

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Answer: [tex]\frac{16}{25}[/tex], [tex]\frac{4}{5}[/tex], 1, [tex]\frac{5}{4}[/tex], [tex]\frac{25}{16}[/tex], C

Step-by-step explanation:

f(x) = [tex](\frac{5}{4} )^{x}[/tex]

f(-2) = [tex](\frac{5}{4} )^{-2}[/tex] = [tex](\frac{4}{5} )^{2}[/tex] = [tex]\frac{16}{25}[/tex]

f(-1) = [tex](\frac{5}{4} )^{-1}[/tex] = [tex](\frac{4}{5} )^{1}[/tex] = [tex]\frac{4}{5}[/tex]

f(0) = [tex](\frac{5}{4} )^{0}[/tex] = 1

f(1) = [tex](\frac{5}{4} )^{1}[/tex] = [tex]\frac{5}{4}[/tex]

f(2) = [tex](\frac{5}{4} )^{2}[/tex] = [tex]\frac{25}{16}[/tex]

(-2, 16/25), (-1, 4/5), (0, 1) (1, 5/4), (2, 25/16)

Which graph shows the coordinates above? C

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Answer: 6

Step-by-step explanation:

[tex](\sqrt[3]{3} )^{x}[/tex] = 9

[tex]3^{\frac{x}{3} }[/tex] = 3²

[tex]\frac{x}{3}[/tex] = 2

[tex](3)\frac{x}{3}[/tex] = 2(3)

x = 6

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Answer: [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

  [tex]log_{2} \sqrt[3]{2}[/tex]

= [tex]log_{2} (2^{\frac{1}{3}} )[/tex]

log base 2 of 2 cancels out leaving you with [tex]\frac{1}{3}[/tex]

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