Calculator gives wrong answers for log
5,874
If you want the base-15 log of 50625, you need to calculate $(\log 50625) ÷ (\log15)$. If you do this you'll get the answer 4.
Similarly if you calculate $(\log 1000) ÷ (\log 10)$ you will get 3.
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Author by
DowinskiField
Updated on March 10, 2020Comments
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DowinskiField over 3 years
$10^3 = 1000$
My calculator with $10\log(1000)$ gives $30$
$15^4 = 50625$.
My calculator with $15\log(50625)$ gives $70.57$.
What am I doing wrong? Or would there be something wrong with my properties? I am using a Casio fx-82MS.
Thanks in advance,
Jarno
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Zubzub over 6 yearsWell $\log(50625) \approx 4.704$ so your calculator is right. But your reasoning is not !
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The Count over 6 yearsin the second line, you are multipying 10 by the number you want. log just means log with a base of ten. the 10 and 15 headers are unnecessary.
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Cato over 6 years$10Log(1000) = Log(1000^{10}) = Log((10^3)^{10}) = Log(10 ^ {30}) = 30$
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DowinskiField over 6 yearsHmm.. so how will I go back to 15^4 with the log function?
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