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Rasek [7]
3 years ago
11

Solve the logarithmic equation. When necessary, round answer to the nearest hundredth. log 3(x + 4) - log 3(x + 2) = log 327

Mathematics
1 answer:
alexandr1967 [171]3 years ago
8 0

Answer:

x = -\dfrac{25}{13}

Step-by-step explanation:

\log_3{x + 4} - \log_3{x + 2} = \log_3 {27}

\log_3 \dfrac{x + 4}{x + 2} = \log_3 {27}

\dfrac{x + 4}{x + 2} = 27

x + 4 = 27(x + 2)

x + 4 = 27x + 54

-26x = 50

x = -\dfrac{50}{26}

x = -\dfrac{25}{13}

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3 years ago
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2 years ago
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Hyp^2 = Base^2 + perpendicular^2
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