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Mathguy3000 Mathguy3000
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5 years ago
Log of base 3 4x + log of base 3 5 - log of base 3  2= 4
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5 years ago
Mathguy3000:

\(\log _3\left(4x\right)+\log _3\left(5\right)-\log _3\left(2\right)=4\)

\(\log _3\left(4x\cdot 5\right)-\log _3\left(2\right)=4\)

\(\log _3\left(\frac{20x}{2}\right)=4\)

\(\frac{20x}{2}=3^4\)

\(20x=3^4\cdot 2\)

\(x=\frac{162}{20}=\frac{81}{10}\)
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