What is expand log_{w}((7x)/5) ?

The solution to expand log_{w}((7x)/5) is log_{w}(7)+log_{w}(x)-log_{w}(5)

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expand log_{w}((7x)/5)

expand

lo g_{w} (\frac{7 x}{5})

lo g_{w} (7) + lo g_{w} (x) - lo g_{w} (5)

Solution steps

lo g_{w} (\frac{7 x}{5})

Apply log rule:

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

lo g_{w} (\frac{7 x}{5}) = lo g_{w} (7 x) - lo g_{w} (5)

= lo g_{w} (7 x) - lo g_{w} (5)

Apply log rule:

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

lo g_{w} (7 x) = lo g_{w} (7) + lo g_{w} (x)

= lo g_{w} (7) + lo g_{w} (x) - lo g_{w} (5)

ln (a^{10})

lo g_{10} (12) - lo g_{10} (2)

\frac{1}{4} ln (17)

lo g_{4} (2 x^{2} + 7 x - 30) - lo g_{4} (x + 6)

lo g_{2} (\frac{x ^{2} y}{z})

What is expand log_{w}((7x)/5) ?
The solution to expand log_{w}((7x)/5) is log_{w}(7)+log_{w}(x)-log_{w}(5)