What is expand 3log_{2}((5x)/7) ?

The solution to expand 3log_{2}((5x)/7) is 3(log_{2}(5x)-log_{2}(7))

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expand 3log_{2}((5x)/7)

expand

3 lo g_{2} (\frac{5 x}{7})

3 (lo g_{2} (5 x) - lo g_{2} (7))

Solution steps

3 lo g_{2} (\frac{5 x}{7})

Apply log rule:

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

lo g_{2} (\frac{5 x}{7}) = lo g_{2} (5 x) - lo g_{2} (7)

= 3 (lo g_{2} (5 x) - lo g_{2} (7))

- lo g_{10} (3.6 e^{- 13})

ln (7.83) - 6 ln (10)

\frac{ln ( 36731 ) - ln ( 27682 )}{2021 - 2000}

2 ln (2 + 1) + ln (2 + 1) + 1 - 2 - 2 ln (2)

What is expand 3log_{2}((5x)/7) ?
The solution to expand 3log_{2}((5x)/7) is 3(log_{2}(5x)-log_{2}(7))