What is log_{10}(1+3)*log_{10}(4/3) ?

The solution to log_{10}(1+3)*log_{10}(4/3) is 2log_{10}(2)(2log_{10}(2)-log_{10}(3))

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simplify log_{10}(1+3)*log_{10}(4/3)

simplify

lo g_{10} (1 + 3) \cdot lo g_{10} (\frac{4}{3})

2 lo g_{10} (2) (2 lo g_{10} (2) - lo g_{10} (3))

Decimal Notation

0.07522 \dots

Solution steps

lo g_{10} (1 + 3) lo g_{10} (\frac{4}{3})

lo g_{10} (1 + 3) = 2 lo g_{10} (2)

lo g_{10} (\frac{4}{3}) = 2 lo g_{10} (2) - lo g_{10} (3)

= 2 lo g_{10} (2) (2 lo g_{10} (2) - lo g_{10} (3))

lo g_{2} (\frac{8 x ^{2}}{y})

lo g_{3} (t) + lo g_{3} (s)

13 ln (x) - 12 ln (x^{2} + 16)

lo g_{3} (u^{2}) - lo g_{3} (v)

lo g_{2} ((\frac{b}{c})^{4})

What is log_{10}(1+3)*log_{10}(4/3) ?
The solution to log_{10}(1+3)*log_{10}(4/3) is 2log_{10}(2)(2log_{10}(2)-log_{10}(3))