What is simplify-log_{9}(9*(x+1)) ?

The solution to simplify-log_{9}(9*(x+1)) is -1-log_{9}(x+1)

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simplify-log_{9}(9*(x+1))

simplify

- lo g_{9} (9 \cdot (x + 1))

- 1 - lo g_{9} (x + 1)

Solution steps

- lo g_{9} (9 (x + 1))

Apply log rule:

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

lo g_{9} (9 (x + 1)) = lo g_{9} (9) + lo g_{9} (x + 1)

= - (lo g_{9} (x + 1) + lo g_{9} (9))

Apply log rule:

lo g_{a} (a) = 1

= - (lo g_{9} (x + 1) + 1)

Distribute parentheses

= - (1) - (lo g_{9} (x + 1))

Apply minus-plus rules

+ (- a) = - a

= - 1 - lo g_{9} (x + 1)

ln (a e^{a x})

- 2000 ln (0.05 - 0.0005 x) + ln (x)

ln (x^{2} (4 - x))

- lo g_{10} (9.6 \cdot 1 0^{- 9})

ln (e^{3 x} \cdot \frac{1}{3})

What is simplify-log_{9}(9*(x+1)) ?
The solution to simplify-log_{9}(9*(x+1)) is -1-log_{9}(x+1)