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

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

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

simplify

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

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

Solution steps

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

Apply log rule:

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

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

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

Simplify

lo g_{10} (7 x) : lo g_{10} (7) + lo g_{10} (x)

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

- lo g_{10} (3.5 \cdot 1 0^{- 8})

lo g_{10} (3 x + 8) - lo g_{10} (x)

lo g_{10} (8 x)

lo g_{10} (A) + lo g_{10} (B)

lo g_{10} (2 i)

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