What is expand log_{w}((13w)/2) ?

The solution to expand log_{w}((13w)/2) is log_{w}(13)+1-log_{w}(2)

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expand log_{w}((13w)/2)

expand

lo g_{w} (\frac{13 w}{2})

lo g_{w} (13) + 1 - lo g_{w} (2)

Solution steps

lo g_{w} (\frac{13 w}{2})

Apply log rule:

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

lo g_{w} (\frac{13 w}{2}) = lo g_{w} (13 w) - lo g_{w} (2)

= lo g_{w} (13 w) - lo g_{w} (2)

Apply log rule:

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

lo g_{w} (13 w) = lo g_{w} (13) + lo g_{w} (w)

= lo g_{w} (13) + lo g_{w} (w) - lo g_{w} (2)

Apply log rule:

lo g_{a} (a) = 1

= lo g_{w} (13) + 1 - lo g_{w} (2)

- lo g_{10} (2.19 \cdot 1 0^{- 3})

\frac{1}{1.212855959 \cdot 1 0 ^{- 4}} ln (\frac{100}{23})

e^{((l n (x) - l n (θ)) (m - 1))}

\frac{1}{4} ln (\frac{14}{5})

\frac{1}{4} lo g_{10} (3)

What is expand log_{w}((13w)/2) ?
The solution to expand log_{w}((13w)/2) is log_{w}(13)+1-log_{w}(2)