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Licemer1 [7]
3 years ago
6

Please give an accurate answer and show work.

Mathematics
1 answer:
Stells [14]3 years ago
6 0

Answer:

3.06

Step-by-step explanation:

\log_{5}(\dfrac{2}{3}x-2)+2=0\\\\\log_{5}(\dfrac{2}{3}x-2)=-2\\\\

This means that 5 to the power of -2 is (\dfrac{2}{3}x-2), meaning that:

\dfrac{2}{3}x-2=5^{-2}=\dfrac{1}{25} \\\\\dfrac{2}{3}x=\dfrac{51}{25} \\\\2x=\dfrac{153}{25} \\\\x=\dfrac{153}{50}=3.06

Hope this helps!

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\qquad \qquad  \bf \huge\star \:  \:  \large{  \underline{Answer} }  \huge \:  \: \star

  • x = 12°

\textsf{  \underline{\underline{Steps to solve the problem} }:}

\qquad❖ \:  \sf \:2x + 6 + 5x + 90 = 180

[ by linear pair ]

\qquad❖ \:  \sf \:7x + 6 = 180 - 90

\qquad❖ \:  \sf \:7x + 6 = 90

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\qquad❖ \:  \sf \:7x = 84

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\qquad \large \sf {Conclusion}  :

\qquad❖ \:  \sf \:x = 12 \degree

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