What is log_{w}((7x)/4) ?

The solution to log_{w}((7x)/4) is log_{w}(7)+log_{w}(x)-2log_{w}(2)

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simplify log_{w}((7x)/4)

simplify

lo g_{w} (\frac{7 x}{4})

lo g_{w} (7) + lo g_{w} (x) - 2 lo g_{w} (2)

Solution steps

lo g_{w} (\frac{7 x}{4})

Apply log rule:

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

lo g_{w} (\frac{7 x}{4}) = lo g_{w} (7 x) - lo g_{w} (4)

= lo g_{w} (7 x) - lo g_{w} (4)

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

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

= lo g_{w} (7) + lo g_{w} (x) - 2 lo g_{w} (2)

\frac{1}{3} lo g_{10} (x) - 7 lo g_{10} (y) + 2

ln (\frac{13}{8})

lo g_{2} (\frac{8 x}{y})

5 lo g_{10} (x) - 4 lo g_{10} (x^{2} + 1) + 3 lo g_{10} (x - 1)

What is log_{w}((7x)/4) ?
The solution to log_{w}((7x)/4) is log_{w}(7)+log_{w}(x)-2log_{w}(2)