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Popular >

simplify 4log_{10}(64)

Solution

simplify

4 lo g_{10} (64)

Solution

24 lo g_{10} (2)

+1

Decimal Notation

7.22471 \dots

Solution steps

4 lo g_{10} (64)

Factor the number:

64 = 2^{6}

= 4 lo g_{10} (2^{6})

Apply log rule:

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

lo g_{10} (2^{6}) = 6 lo g_{10} (2)

= 4 \cdot 6 lo g_{10} (2)

Multiply the numbers:

4 \cdot 6 = 24

= 24 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

What is 4log_{10}(64) ?
The solution to 4log_{10}(64) is 24log_{10}(2)