What is log_{10}(1.86*10^6)-log_{10}(6.9*10^4) ?

The solution to log_{10}(1.86*10^6)-log_{10}(6.9*10^4) is log_{10}(26.95652…)

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simplify log_{10}(1.8610^6)-log_{10}(6.910^4)

simplify

lo g_{10} (1.86 \cdot 1 0^{6}) - lo g_{10} (6.9 \cdot 1 0^{4})

lo g_{10} (26.95652 \dots)

Decimal Notation

1.43066 \dots

Solution steps

lo g_{10} (1.86 \cdot 1 0^{6}) - lo g_{10} (6.9 \cdot 1 0^{4})

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

lo g_{10} (1 0^{6} \cdot 1.86) - lo g_{10} (1 0^{4} \cdot 6.9) = lo g_{10} (\frac{1 0 ^{6} \cdot 1.86}{1 0 ^{4} \cdot 6.9})

= lo g_{10} (\frac{1.86 \cdot 1 0 ^{6}}{6.9 \cdot 1 0 ^{4}})

\frac{1.86 \cdot 1 0 ^{6}}{6.9 \cdot 1 0 ^{4}} = 26.95652 \dots

= lo g_{10} (26.95652 \dots)

6.1 + lo g_{10} (\frac{24.6}{0.0308})

- ln (k C A CB)

lo g_{7} (y x)

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

lo g_{10} (\frac{x ^{2} y}{z ^{3}})

What is log_{10}(1.86*10^6)-log_{10}(6.9*10^4) ?
The solution to log_{10}(1.86*10^6)-log_{10}(6.9*10^4) is log_{10}(26.95652…)