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Popular >

simplify log_{sqrt(5)}(25sqrt(5))

Solution

simplify

lo g_{5} (255)

Solution

5

Solution steps

lo g_{5} (255)

Apply log rule:

lo g_{a} (x y) = lo g_{a} (x) + lo g_{a} (y)

lo g_{5} (255) = lo g_{5} (25) + lo g_{5} (5)

= lo g_{5} (25) + lo g_{5} (5)

lo g_{5} (25) = 4

= 4 + lo g_{5} (5)

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 4 + 1

Add the numbers:

4 + 1 = 5

= 5

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Frequently Asked Questions (FAQ)

What is log_{sqrt(5)}(25sqrt(5)) ?
The solution to log_{sqrt(5)}(25sqrt(5)) is 5