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Popular >

expand log_{b}(25/9)

Solution

expand

lo g_{b} (\frac{25}{9})

Solution

2 lo g_{b} (5) - 2 lo g_{b} (3)

Solution steps

lo g_{b} (\frac{25}{9})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

lo g_{b} (\frac{25}{9}) = lo g_{b} (25) - lo g_{b} (9)

= lo g_{b} (25) - lo g_{b} (9)

lo g_{b} (25) = 2 lo g_{b} (5)

lo g_{b} (9) = 2 lo g_{b} (3)

= 2 lo g_{b} (5) - 2 lo g_{b} (3)

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Frequently Asked Questions (FAQ)

What is expand log_{b}(25/9) ?
The solution to expand log_{b}(25/9) is 2log_{b}(5)-2log_{b}(3)