What is log_{10}(x/(y^7)) ?

The solution to log_{10}(x/(y^7)) is log_{10}(x)-7log_{10}(y)

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simplify log_{10}(x/(y^7))

simplify

lo g_{10} (\frac{x}{y ^{7}})

lo g_{10} (x) - 7 lo g_{10} (y)

Solution steps

lo g_{10} (\frac{x}{y ^{7}})

Apply log rule:

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

lo g_{10} (\frac{x}{y ^{7}}) = lo g_{10} (x) - lo g_{10} (y^{7})

= lo g_{10} (x) - lo g_{10} (y^{7})

Simplify

lo g_{10} (y^{7}) : 7 lo g_{10} (y)

= lo g_{10} (x) - 7 lo g_{10} (y)

lo g_{10} (1.54 x) lo g_{10} (1.02)

lo g_{d} (u^{8} v^{3})

ln (4 \cdot 3)

2 lo g_{3} (3 x)

What is log_{10}(x/(y^7)) ?
The solution to log_{10}(x/(y^7)) is log_{10}(x)-7log_{10}(y)