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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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