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Popular >

simplify log_{sqrt(3)}(81sqrt(3))

Solution

simplify

lo g_{3} (813)

Solution

9

Solution steps

lo g_{3} (813)

Apply log rule:

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

lo g_{3} (813) = lo g_{3} (81) + lo g_{3} (3)

= lo g_{3} (81) + lo g_{3} (3)

lo g_{3} (81) = 8

= 8 + lo g_{3} (3)

Apply log rule:

lo g_{a} (a) = 1

lo g_{3} (3) = 1

= 8 + 1

Add the numbers:

8 + 1 = 9

= 9

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Frequently Asked Questions (FAQ)

What is log_{sqrt(3)}(81sqrt(3)) ?
The solution to log_{sqrt(3)}(81sqrt(3)) is 9