What is log_{10}((8b)/7) ?

The solution to log_{10}((8b)/7) is 3log_{10}(2)+log_{10}(b)-log_{10}(7)

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simplify log_{10}((8b)/7)

simplify

lo g_{10} (\frac{8 b}{7})

3 lo g_{10} (2) + lo g_{10} (b) - lo g_{10} (7)

Solution steps

lo g_{10} (\frac{8 b}{7})

Apply log rule:

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

lo g_{10} (\frac{8 b}{7}) = lo g_{10} (8 b) - lo g_{10} (7)

= lo g_{10} (8 b) - lo g_{10} (7)

Simplify

lo g_{10} (8 b) : 3 lo g_{10} (2) + lo g_{10} (b)

= 3 lo g_{10} (2) + lo g_{10} (b) - lo g_{10} (7)

ln (2 x) - ln (4 x)

4 lo g_{10} (x^{5}) - 3 lo g_{10} (x^{2})

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

lo g_{8} (9) + lo g_{8} (5)

ln (3) + \frac{1}{2} ln (x + 4) - 5 ln (1 + x)

What is log_{10}((8b)/7) ?
The solution to log_{10}((8b)/7) is 3log_{10}(2)+log_{10}(b)-log_{10}(7)