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Popular >

simplify log_{10}(128)

Solution

simplify

lo g_{10} (128)

Solution

7 lo g_{10} (2)

+1

Decimal Notation

2.10720 \dots

Solution steps

lo g_{10} (128)

Factor the number:

128 = 2^{7}

= lo g_{10} (2^{7})

Apply log rule:

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

lo g_{10} (2^{7}) = 7 lo g_{10} (2)

= 7 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is log_{10}(128) ?
The solution to log_{10}(128) is 7log_{10}(2)