What is simplify-log_{2}(7)+2log_{2}(x) ?

The solution to simplify-log_{2}(7)+2log_{2}(x) is log_{2}((x^2)/7)

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simplify-log_{2}(7)+2log_{2}(x)

simplify

- lo g_{2} (7) + 2 lo g_{2} (x)

lo g_{2} (\frac{x ^{2}}{7})

Solution steps

- lo g_{2} (7) + 2 lo g_{2} (x)

Apply log rule:

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

2 lo g_{2} (x) = lo g_{2} (x^{2})

= - lo g_{2} (7) + lo g_{2} (x^{2})

Apply log rule:

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

lo g_{2} (x^{2}) - lo g_{2} (7) = lo g_{2} (\frac{x ^{2}}{7})

= lo g_{2} (\frac{x ^{2}}{7})

ln (\frac{e ^{3}}{7})

lo g_{3} (\frac{3 y ^{4}}{y x})

\frac{5}{2} lo g_{10} (x) - lo g_{10} (y)

- lo g_{10} (5 \cdot 1 0^{- 10})

- lo g_{10} (2.51 x 1 0^{- 12})

What is simplify-log_{2}(7)+2log_{2}(x) ?
The solution to simplify-log_{2}(7)+2log_{2}(x) is log_{2}((x^2)/7)