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Vladimir79 [104]
3 years ago
7

Solve 5^x=81.2 round to the nearest ten-thousands

Mathematics
1 answer:
Dima020 [189]3 years ago
5 0

Answer:

x = 2.7320

Step-by-step explanation:

To solve 5^x=81.2 for x, take the log of both sides:

log 5^x = log 81.2

There is a rule of logs that allows us to rewrite log 5^x as x log 5.

Thus,

x log 5 = log 81.2, and

x = log 81.2 / log 5

which comes out to:

x = 1.90955603 / 0.698970004  = 2.73 = 2.73195704, which, when rounded to the nearest ten thousandths, yields:

x = 2.7320

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Step-by-step explanation:

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Explain how the Quotient of Powers Property was used to simplify this expression.
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3 years ago
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4 years ago
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If the equation y² - (K-<br>2y + 2k +1 = 0<br>with equal roots find the value of k​
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Answer:

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