What is log_{10}(31.6)+3log_{10}(8(5))-2.92 ?

The solution to log_{10}(31.6)+3log_{10}(8(5))-2.92 is log_{10}(2022400)-2.92

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simplify log_{10}(31.6)+3log_{10}(8(5))-2.92

simplify

lo g_{10} (31.6) + 3 lo g_{10} (8 (5)) - 2.92

lo g_{10} (2022400) - 2.92

Decimal Notation

3.38586 \dots

Solution steps

lo g_{10} (31.6) + 3 lo g_{10} (8 (5)) - 2.92

Apply log rule:

b \cdot lo g_{a} (x) = lo g_{a} (x^{b})

3 lo g_{10} (8 (5)) = lo g_{10} ((8 (5))^{3})

= lo g_{10} (31.6) + lo g_{10} ((8 \cdot 5)^{3}) - 2.92

lo g_{10} (31.6) + lo g_{10} ((8 \cdot 5)^{3}) = lo g_{10} (2022400)

= lo g_{10} (2022400) - 2.92

ln (\frac{1.26}{2 \cdot 0.085})

lo g_{10} (2 π \cdot 51782 \cdot 5.03 \cdot 9.566)

- lo g_{10} (7.5 \cdot 1 0^{- 3}) + lo g_{10} (3)

\frac{1}{2} lo g_{10} (8 + 65)

ln (13) + 7 ln (a) - 11 ln (b) + ln (c)

What is log_{10}(31.6)+3log_{10}(8(5))-2.92 ?
The solution to log_{10}(31.6)+3log_{10}(8(5))-2.92 is log_{10}(2022400)-2.92