What is log_{10}((y^3)/z) ?

The solution to log_{10}((y^3)/z) is 3log_{10}(y)-log_{10}(z)

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simplify log_{10}((y^3)/z)

simplify

lo g_{10} (\frac{y ^{3}}{z})

3 lo g_{10} (y) - lo g_{10} (z)

Solution steps

lo g_{10} (\frac{y ^{3}}{z})

Apply log rule:

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

lo g_{10} (\frac{y ^{3}}{z}) = lo g_{10} (y^{3}) - lo g_{10} (z)

= lo g_{10} (y^{3}) - lo g_{10} (z)

Simplify

lo g_{10} (y^{3}) : 3 lo g_{10} (y)

= 3 lo g_{10} (y) - lo g_{10} (z)

lo g_{10} (48) + lo g_{10} (6) - lo g_{10} (108)

lo g_{7} (3 x + 1) - 2 lo g_{7} (1 + x)

2 ln (x + 49) - 4 ln (x - 7)

ln (x - 5) + ln (x + 5)

ln (x^{2} - 81) - ln (x^{2} - 6 x - 27)

What is log_{10}((y^3)/z) ?
The solution to log_{10}((y^3)/z) is 3log_{10}(y)-log_{10}(z)