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Popular >

simplify log_{3}(32)

Solution

simplify

lo g_{3} (32)

Solution

5 lo g_{3} (2)

+1

Decimal Notation

3.15464 \dots

Solution steps

lo g_{3} (32)

Factor the number:

32 = 2^{5}

= lo g_{3} (2^{5})

Apply log rule:

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

lo g_{3} (2^{5}) = 5 lo g_{3} (2)

= 5 lo g_{3} (2)

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Frequently Asked Questions (FAQ)

What is log_{3}(32) ?
The solution to log_{3}(32) is 5log_{3}(2)