What is log_{10}((sqrt(10))/(0.1)) ?

The solution to log_{10}((sqrt(10))/(0.1)) is 1/2-log_{10}(0.1)

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simplify log_{10}((sqrt(10))/(0.1))

simplify

lo g_{10} (\frac{10}{0.1})

\frac{1}{2} - lo g_{10} (0.1)

Decimal Notation

1.5

Solution steps

lo g_{10} (\frac{10}{0.1})

Apply log rule:

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

lo g_{10} (\frac{10}{0.1}) = lo g_{10} (10) - lo g_{10} (0.1)

= lo g_{10} (10) - lo g_{10} (0.1)

lo g_{10} (10) = \frac{1}{2}

= \frac{1}{2} - lo g_{10} (0.1)

lo g_{2} (\frac{n}{2})

5 ln (x) + 2 ln (y) - 6 ln (z)

lo g_{10} x \frac{x}{y}

3 lo g_{2} (3) - 12 lo g_{2} (7)

What is log_{10}((sqrt(10))/(0.1)) ?
The solution to log_{10}((sqrt(10))/(0.1)) is 1/2-log_{10}(0.1)