What is log_{10}((3t)/7) ?

The solution to log_{10}((3t)/7) is log_{10}(3)+log_{10}(t)-log_{10}(7)

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simplify log_{10}((3t)/7)

simplify

lo g_{10} (\frac{3 t}{7})

lo g_{10} (3) + lo g_{10} (t) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{3 t}{7})

Apply log rule:

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

lo g_{10} (\frac{3 t}{7}) = lo g_{10} (3 t) - lo g_{10} (7)

= lo g_{10} (3 t) - lo g_{10} (7)

Simplify

lo g_{10} (3 t) : lo g_{10} (3) + lo g_{10} (t)

= lo g_{10} (3) + lo g_{10} (t) - lo g_{10} (7)

4 lo g_{b} (y) + 8 lo g_{b} (z)

lo g_{b} (\frac{5 x + 1}{3 x - 2})

lo g_{2} (8) - lo g_{10} (2 x) - lo g_{10} (2 y)

ln (\frac{e ^{8}}{3})

4 ln (x) - 5 ln (y) - 6 ln (z)

What is log_{10}((3t)/7) ?
The solution to log_{10}((3t)/7) is log_{10}(3)+log_{10}(t)-log_{10}(7)