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Popular >

simplify log_{10}(4^2)

Solution

simplify

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

Solution

4 lo g_{10} (2)

+1

Solution steps

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

Apply log rule:

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

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

= 2 lo g_{10} (4)

Factor the number:

4 = 2^{2}

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

Apply log rule:

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

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

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

Multiply the numbers:

2 \cdot 2 = 4

= 4 lo g_{10} (2)

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Frequently Asked Questions (FAQ)

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