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Popular >

simplify 2log_{10}(9)

Solution

simplify

2 lo g_{10} (9)

Solution

4 lo g_{10} (3)

+1

Decimal Notation

1.90848 \dots

Solution steps

2 lo g_{10} (9)

Factor the number:

9 = 3^{2}

= 2 lo g_{10} (3^{2})

Apply log rule:

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

lo g_{10} (3^{2}) = 2 lo g_{10} (3)

= 2 \cdot 2 lo g_{10} (3)

Multiply the numbers:

2 \cdot 2 = 4

= 4 lo g_{10} (3)

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Frequently Asked Questions (FAQ)

What is 2log_{10}(9) ?
The solution to 2log_{10}(9) is 4log_{10}(3)