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Popular >

simplify 2log_{10}(x^5)

Solution

simplify

2 lo g_{10} (x^{5})

Solution

10 lo g_{10} (x)

Solution steps

2 lo g_{10} (x^{5})

Apply log rule

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

lo g_{10} (x^{5}) = 5 lo g_{10} (x)

= 2 \cdot 5 lo g_{10} (x)

Multiply the numbers:

2 \cdot 5 = 10

= 10 lo g_{10} (x)

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Frequently Asked Questions (FAQ)

What is 2log_{10}(x^5) ?
The solution to 2log_{10}(x^5) is 10log_{10}(x)