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Popular >

simplify log_{5}(32)

Solution

simplify

lo g_{5} (32)

Solution

5 lo g_{5} (2)

+1

Decimal Notation

2.15338 \dots

Solution steps

lo g_{5} (32)

Factor the number:

32 = 2^{5}

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

Apply log rule:

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

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

= 5 lo g_{5} (2)

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2(u+1)+7=3(u-2)+2u

2 (u + 1) + 7 = 3 (u - 2) + 2 u

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Frequently Asked Questions (FAQ)

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