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laila [671]
2 years ago
8

Sold the equation. Round to the nearest hundredth. 17 ·

id="TexFormula1" title="1.8^{-x+7} = 5" alt="1.8^{-x+7} = 5" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
svetlana [45]2 years ago
4 0

Answer:

Final answer is approx x=4.26.

Step-by-step explanation:

Given equation is 1.8^{-x+7} = 5

Now we need to solve equation 1.8^{-x+7} = 5 and round to the nearest hundredth.

1.8^{-x+7} = 5

\log(1.8^{-x+7}) = \log(5)

(-x+7)\log(1.8) = \log(5)

(-x+7) = \frac{\log(5)}{\log(1.8)}

(-x+7) = \frac{0.698970004336}{0.255272505103}

-x+7 = 2.73813274192

-x = 2.73813274192-7

-x =−4.26186725808

x =4.26186725808

Round to the nearest hundredth.

Hence final answer is approx x=4.26.

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