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Popular >

expand log_{10}(10x^5)

Solution

expand

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

Solution

1 + 5 lo g_{10} (x)

Solution steps

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

Apply log rule:

lo g_{c} (ab) = lo g_{c} (a) + lo g_{c} (b)

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

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

= 1 + 5 lo g_{10} (x)

Popular Examples

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Frequently Asked Questions (FAQ)

What is expand log_{10}(10x^5) ?
The solution to expand log_{10}(10x^5) is 1+5log_{10}(x)