What is log_{10}(1.04167)+0.6*log_{10}(0.749996) ?

The solution to log_{10}(1.04167)+0.6*log_{10}(0.749996) is log_{10}(0.87652…)

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simplify log_{10}(1.04167)+0.6*log_{10}(0.749996)

simplify

lo g_{10} (1.04167) + 0.6 \cdot lo g_{10} (0.749996)

lo g_{10} (0.87652 \dots)

Decimal Notation

- 0.05723 \dots

Solution steps

lo g_{10} (1.04167) + 0.6 lo g_{10} (0.749996)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

0.6 lo g_{10} (0.749996) = lo g_{10} (0.74999 6^{0.6})

= lo g_{10} (1.04167) + lo g_{10} (0.74999 6^{0.6})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

lo g_{10} (1.04167) + lo g_{10} (0.74999 6^{0.6}) = lo g_{10} (1.04167 \cdot 0.74999 6^{0.6})

= lo g_{10} (1.04167 \cdot 0.74999 6^{0.6})

1.04167 \cdot 0.74999 6^{0.6} = 0.87652 \dots

= lo g_{10} (0.87652 \dots)

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

\frac{1}{0.0105} ln (\frac{6000}{5000})

ln (\frac{25}{50})

ln (n) - ln (n - 1)

lo g_{10} (\frac{6}{z})

What is log_{10}(1.04167)+0.6*log_{10}(0.749996) ?
The solution to log_{10}(1.04167)+0.6*log_{10}(0.749996) is log_{10}(0.87652…)