What is simplify-log_{2}(10x) ?

The solution to simplify-log_{2}(10x) is -log_{2}(10)-log_{2}(x)

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simplify-log_{2}(10x)

simplify

- lo g_{2} (10 x)

- lo g_{2} (10) - lo g_{2} (x)

Solution steps

- lo g_{2} (10 x)

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

lo g_{2} (10 x) = lo g_{2} (10) + lo g_{2} (x)

= - (lo g_{2} (x) + lo g_{2} (10))

Distribute parentheses

= - (lo g_{2} (10)) - (lo g_{2} (x))

Apply minus-plus rules

+ (- a) = - a

= - lo g_{2} (10) - lo g_{2} (x)

ln (e^{e^{x}}) + ln (e)

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

ln (3 a^{b})

ln (8) - 3 ln (x) - 4 ln (5) + 2 ln (y)

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

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