What is 9/14 log_{10}(9/14)+5/14 log_{5/14}(x) ?

The solution to 9/14 log_{10}(9/14)+5/14 log_{5/14}(x) is 9/14 log_{10}(9/14)+(5log_{5/14}(x))/(14)

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simplify 9/14 log_{10}(9/14)+5/14 log_{5/14}(x)

simplify

\frac{9}{14} lo g_{10} (\frac{9}{14}) + \frac{5}{14} lo g_{\frac{5}{14}} (x)

\frac{9}{14} lo g_{10} (\frac{9}{14}) + \frac{5 lo g _{\frac{5}{14}} ( x )}{14}

Solution steps

\frac{9}{14} lo g_{10} (\frac{9}{14}) + \frac{5}{14} lo g_{\frac{5}{14}} (x)

Apply the fraction rule:

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

\frac{5}{14} lo g_{\frac{5}{14}} (x) = \frac{5 lo g _{\frac{5}{14}} ( x )}{14}

= \frac{9}{14} lo g_{10} (\frac{9}{14}) + \frac{5 lo g _{\frac{5}{14}} ( x )}{14}

ln (\frac{16}{3})

ln (\frac{300}{250})

\frac{1}{t ^{2}} + ln^{2} (t) + 2 ln (t) + 2

lo g_{4} (\frac{1}{64})

\frac{1}{6} (ln ∣ x ∣ - ln ∣ x + 6 ∣)

What is 9/14 log_{10}(9/14)+5/14 log_{5/14}(x) ?
The solution to 9/14 log_{10}(9/14)+5/14 log_{5/14}(x) is 9/14 log_{10}(9/14)+(5log_{5/14}(x))/(14)