What is simplify-3/4 log_{2}(3/4)-1/4 log_{10}(x) ?

The solution to simplify-3/4 log_{2}(3/4)-1/4 log_{10}(x) is -3/4 log_{2}(3/4)-(log_{10}(x))/4

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simplify-3/4 log_{2}(3/4)-1/4 log_{10}(x)

simplify

- \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{1}{4} lo g_{10} (x)

- \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{lo g _{10} ( x )}{4}

Solution steps

- \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{1}{4} lo g_{10} (x)

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

\frac{1}{4} lo g_{10} (x) = \frac{1 \cdot lo g _{10} ( x )}{4}

= - \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{1 \cdot lo g _{10} ( x )}{4}

Apply rule:

1 \cdot a = a

1 \cdot lo g_{10} (x) = lo g_{10} (x)

= - \frac{3}{4} lo g_{2} (\frac{3}{4}) - \frac{lo g _{10} ( x )}{4}

(\frac{1}{0.143}) ln (\frac{5 \cdot 1 0 ^{9}}{34000})

\frac{300}{2 \cdot π \cdot 450} \cdot ln (\frac{4 + 2 \cdot 45 0 ^{2}}{25})

\frac{1}{2} ln (1 + \frac{x ^{2}}{y ^{2}}) - ln (x)

- lo g_{10} (4.61 \cdot 1 0^{- 7})

\frac{2 ln ( 3 )}{ln ( 7 )} - 10

What is simplify-3/4 log_{2}(3/4)-1/4 log_{10}(x) ?
The solution to simplify-3/4 log_{2}(3/4)-1/4 log_{10}(x) is -3/4 log_{2}(3/4)-(log_{10}(x))/4