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Popular >

simplify log_{3}(1000)

Solution

simplify

lo g_{3} (1000)

Solution

3 lo g_{3} (10)

+1

Decimal Notation

6.28770 \dots

Solution steps

lo g_{3} (1000)

Factor the number:

1000 = 1 0^{3}

= lo g_{3} (1 0^{3})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x), x > 0

lo g_{3} (1 0^{3}) = 3 lo g_{3} (10)

= 3 lo g_{3} (10)

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Frequently Asked Questions (FAQ)

What is log_{3}(1000) ?
The solution to log_{3}(1000) is 3log_{3}(10)