What is 10log_{10}(x/6) ?

The solution to 10log_{10}(x/6) is 10log_{10}(x)-10log_{10}(6)

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simplify 10log_{10}(x/6)

simplify

10 lo g_{10} (\frac{x}{6})

10 lo g_{10} (x) - 10 lo g_{10} (6)

Solution steps

10 lo g_{10} (\frac{x}{6})

Apply log rule:

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

lo g_{10} (\frac{x}{6}) = lo g_{10} (x) - lo g_{10} (6)

= 10 (lo g_{10} (x) - lo g_{10} (6))

Apply the distributive law:

a (b - c) = ab - a c

10 (lo g_{10} (x) - lo g_{10} (6)) = 10 lo g_{10} (x) - 10 lo g_{10} (6)

= 10 lo g_{10} (x) - 10 lo g_{10} (6)

lo g_{10} (\frac{4 z}{7})

\frac{1}{3} lo g_{m} (y) + 6 lo g_{m} (w) - lo g_{m} (z)

ln (2 ln (2)) - ln (ln (2))

lo g_{6} (36 x^{6})

lo g_{7} (\frac{3 x ^{2}}{y ^{3}})

What is 10log_{10}(x/6) ?
The solution to 10log_{10}(x/6) is 10log_{10}(x)-10log_{10}(6)