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Popular >

simplify (log_{10}(4n^2))^2

Solution

simplify

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

Solution

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

Solution steps

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

Simplify

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

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

Apply exponent rule:

(a \cdot b)^{n} = a^{n} b^{n}

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

2^{2} = 4

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

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Frequently Asked Questions (FAQ)

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