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Popular >

simplify 9log_{10}(81)

Solution

simplify

9 lo g_{10} (81)

Solution

36 lo g_{10} (3)

+1

Solution steps

9 lo g_{10} (81)

Factor the number:

81 = 3^{4}

= 9 lo g_{10} (3^{4})

Apply log rule:

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

lo g_{10} (3^{4}) = 4 lo g_{10} (3)

= 9 \cdot 4 lo g_{10} (3)

Multiply the numbers:

9 \cdot 4 = 36

= 36 lo g_{10} (3)

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Frequently Asked Questions (FAQ)

What is 9log_{10}(81) ?
The solution to 9log_{10}(81) is 36log_{10}(3)