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Popular >

simplify log_{5}((x+9)(x+9))

Solution

simplify

lo g_{5} ((x + 9) (x + 9))

Solution

2 lo g_{5} (x + 9)

Solution steps

lo g_{5} ((x + 9) (x + 9))

Simplify

(x + 9) (x + 9) : (x + 9)^{2}

= lo g_{5} ((x + 9)^{2})

Apply log rule

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

lo g_{5} ((x + 9)^{2}) = 2 lo g_{5} (x + 9)

= 2 lo g_{5} (x + 9)

Popular Examples

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Frequently Asked Questions (FAQ)

What is log_{5}((x+9)(x+9)) ?
The solution to log_{5}((x+9)(x+9)) is 2log_{5}(x+9)