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Popular >

simplify log_{5}(81)

Solution

simplify

lo g_{5} (81)

Solution

4 lo g_{5} (3)

+1

Decimal Notation

2.73042 \dots

Solution steps

lo g_{5} (81)

Factor the number:

81 = 3^{4}

= lo g_{5} (3^{4})

Apply log rule:

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

lo g_{5} (3^{4}) = 4 lo g_{5} (3)

= 4 lo g_{5} (3)

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Frequently Asked Questions (FAQ)

What is log_{5}(81) ?
The solution to log_{5}(81) is 4log_{5}(3)