What is log_{10}((27)/(sqrt(15z))) ?

The solution to log_{10}((27)/(sqrt(15z))) is 3log_{10}(3)-log_{10}(sqrt(15z))

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simplify log_{10}((27)/(sqrt(15z)))

simplify

lo g_{10} (\frac{27}{15 z})

3 lo g_{10} (3) - lo g_{10} (15 z)

Solution steps

lo g_{10} (\frac{27}{15 z})

Apply log rule:

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

lo g_{10} (\frac{27}{15 z}) = lo g_{10} (27) - lo g_{10} (15 z)

= lo g_{10} (27) - lo g_{10} (15 z)

lo g_{10} (27) = 3 lo g_{10} (3)

= 3 lo g_{10} (3) - lo g_{10} (15 z)

lo g_{10} (\frac{y}{10})

lo g_{10} (16 a b^{3})

lo g_{10} (x) + lo g_{10} (x + 3)

lo g_{5} (6) - lo g_{5} (t)

lo g_{6} (k^{2} - 36) - lo g_{6} (k - 6)

What is log_{10}((27)/(sqrt(15z))) ?
The solution to log_{10}((27)/(sqrt(15z))) is 3log_{10}(3)-log_{10}(sqrt(15z))