What is log_{10}(pi)+2log_{10}(r) ?

The solution to log_{10}(pi)+2log_{10}(r) is log_{10}(pir^2)

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simplify log_{10}(pi)+2log_{10}(r)

simplify

lo g_{10} (π) + 2 lo g_{10} (r)

lo g_{10} (π r^{2})

Solution steps

lo g_{10} (π) + 2 lo g_{10} (r)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

2 lo g_{10} (r) = lo g_{10} (r^{2})

= lo g_{10} (π) + lo g_{10} (r^{2})

Apply log rule:

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

lo g_{10} (π) + lo g_{10} (r^{2}) = lo g_{10} (π r^{2})

= lo g_{10} (π r^{2})

ln (\frac{1}{x + 8})

lo g_{2} (\frac{393}{7}) + 6

lo g_{4} (\frac{4}{y})

ln (2 e^{7})

- lo g_{10} (4.9 \cdot 1 0^{- 5})

What is log_{10}(pi)+2log_{10}(r) ?
The solution to log_{10}(pi)+2log_{10}(r) is log_{10}(pir^2)