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Popular >

simplify log_{9}(1620)

Solution

simplify

lo g_{9} (1620)

Solution

2 + lo g_{9} (20)

+1

Decimal Notation

3.36341 \dots

Solution steps

lo g_{9} (1620)

Factor the number:

1620 = 9^{2} \cdot 20

= lo g_{9} (9^{2} \cdot 20)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{9} (9^{2} \cdot 20) = lo g_{9} (9^{2}) + lo g_{9} (20)

= lo g_{9} (9^{2}) + lo g_{9} (20)

Apply log rule:

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

lo g_{9} (9^{2}) = 2

= 2 + lo g_{9} (20)

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Frequently Asked Questions (FAQ)

What is log_{9}(1620) ?
The solution to log_{9}(1620) is 2+log_{9}(20)