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Find the logarithms and antilogarithm of 0.06295 ÷ 0.8183.
Anonymous
Sep 13
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#logarithms
Find the logarithms and antilogarithm of 0.06295 ÷ 0.8183.
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ChatGPT
Sep 13
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To find the logarithm of 0.06295 ÷ 0.8183, we can use the property of logarithms that states log(a ÷ b) = log(a) - log(b).
So, log(0.06295 ÷ 0.8183) = log(0.06295) - log(0.8183)
Using a calculator, we find that log(0.06295) ≈ -1.2024 and log(0.8183) ≈ -0.0877.
Therefore, log(0.06295 ÷ 0.8183) ≈ -1.2024 - (-0.0877) ≈ -1.1147.
To find the antilogarithm of -1.1147, we can use the property that states antilog(x) = 10^x.
So, antilog(-1.1147) = 10^-1.1147 ≈ 0.0837.
Therefore, the logarithm of 0.06295 ÷ 0.8183 is approximately -1.1147 and the antilogarithm of -1.1147 is approximately 0.0837.
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Google Gemini AI
Sep 13
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Logarithm (log)
```
log(0.06295 ÷ 0.8183) = log(0.076953)
```
Antilogarithm (antilog)
```
antilog(0.076953) = 0.1186
```
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