What is log_{10}((4z)/7) ?

The solution to log_{10}((4z)/7) is 2log_{10}(2)+log_{10}(z)-log_{10}(7)

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simplify log_{10}((4z)/7)

simplify

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

2 lo g_{10} (2) + lo g_{10} (z) - lo g_{10} (7)

Solution steps

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

Apply log rule:

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

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

= lo g_{10} (4 z) - lo g_{10} (7)

Simplify

lo g_{10} (4 z) : 2 lo g_{10} (2) + lo g_{10} (z)

= 2 lo g_{10} (2) + lo g_{10} (z) - lo g_{10} (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}})

ln (\frac{x ^{4}}{( 2 x - 1 ) ^{3} ( 7 x - 5 ) ^{8}})

What is log_{10}((4z)/7) ?
The solution to log_{10}((4z)/7) is 2log_{10}(2)+log_{10}(z)-log_{10}(7)