What is log_{10}(4 1/16) ?

The solution to log_{10}(4 1/16) is log_{10}(65)-4log_{10}(2)

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simplify log_{10}(4 1/16)

simplify

lo g_{10} (4 \frac{1}{16})

lo g_{10} (65) - 4 lo g_{10} (2)

Decimal Notation

0.60879 \dots

Solution steps

lo g_{10} (4 \frac{1}{16})

Convert mixed numbers to improper fractions:

4 \frac{1}{16} = \frac{65}{16}

= lo g_{10} (\frac{65}{16})

Apply log rule:

lo g_{a} (\frac{x}{y}) = lo g_{a} (x) - lo g_{a} (y)

lo g_{10} (\frac{65}{16}) = lo g_{10} (65) - lo g_{10} (16)

= lo g_{10} (65) - lo g_{10} (16)

lo g_{10} (16) = 4 lo g_{10} (2)

= lo g_{10} (65) - 4 lo g_{10} (2)

\frac{25}{75}

(- 1)^{9}

\frac{1}{4} + \frac{2}{4}

(3 x^{3} y - 2 z^{4})^{3}

What is log_{10}(4 1/16) ?
The solution to log_{10}(4 1/16) is log_{10}(65)-4log_{10}(2)