What is log_{10}((4pi)/(sqrt(23))) ?

The solution to log_{10}((4pi)/(sqrt(23))) is 2log_{10}(2)+log_{10}(pi)-1/2 log_{10}(23)

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Popular >

simplify log_{10}((4pi)/(sqrt(23)))

simplify

lo g_{10} (\frac{4 π}{23})

2 lo g_{10} (2) + lo g_{10} (π) - \frac{1}{2} lo g_{10} (23)

Decimal Notation

0.41834 \dots

Solution steps

lo g_{10} (\frac{4 π}{23})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{10} (\frac{4 π}{23}) = lo g_{10} (4 π) - lo g_{10} (23)

= lo g_{10} (4 π) - lo g_{10} (23)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{10} (4 π) = lo g_{10} (4) + lo g_{10} (π)

= lo g_{10} (4) + lo g_{10} (π) - lo g_{10} (23)

lo g_{10} (23) = \frac{1}{2} lo g_{10} (23)

= lo g_{10} (4) + lo g_{10} (π) - \frac{1}{2} lo g_{10} (23)

lo g_{10} (4) = 2 lo g_{10} (2)

= 2 lo g_{10} (2) + lo g_{10} (π) - \frac{1}{2} lo g_{10} (23)

ln (379 e^{2 x + 3} e^{y + 5})

lo g_{10} (\frac{3}{y x})

6 ln (a x)

\frac{1}{200} ln ∣ x ∣ - \frac{1}{200} ln ∣ x - 200 ∣

480 ln (\frac{A}{275})

What is log_{10}((4pi)/(sqrt(23))) ?
The solution to log_{10}((4pi)/(sqrt(23))) is 2log_{10}(2)+log_{10}(pi)-1/2 log_{10}(23)