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Popular >

simplify log_{10}(1024)

Solution

simplify

lo g_{10} (1024)

Solution

10 lo g_{10} (2)

+1

Decimal Notation

3.01029 \dots

Solution steps

lo g_{10} (1024)

Factor the number:

1024 = 2^{10}

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

Apply log rule:

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

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

= 10 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(1024) ?
The solution to log_{10}(1024) is 10log_{10}(2)