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

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

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

simplify

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_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

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)

Simplify

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)

lo g_{10} (4 x + 7) - lo g_{10} (x)

lo g_{2} (\frac{x ^{2} + 1}{2 ^{x}})

lo g_{b} (y^{5} x)

lo g_{4} (\frac{64}{x})

lo g_{5} (\frac{y}{125})

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