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Popular >

expand log_{9}(81x^8)

Solution

expand

lo g_{9} (81 x^{8})

Solution

2 + 8 lo g_{9} (x)

Solution steps

lo g_{9} (81 x^{8})

Apply log rule:

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

lo g_{9} (81 x^{8}) = lo g_{9} (81) + lo g_{9} (x^{8})

= lo g_{9} (81) + lo g_{9} (x^{8})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

lo g_{9} (x^{8}) = 8 lo g_{9} (x)

= lo g_{9} (81) + 8 lo g_{9} (x)

lo g_{9} (81) = 2

= 2 + 8 lo g_{9} (x)

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Frequently Asked Questions (FAQ)

What is expand log_{9}(81x^8) ?
The solution to expand log_{9}(81x^8) is 2+8log_{9}(x)