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Popular >

simplify log_{5}(25x)

Solution

simplify

lo g_{5} (25 x)

Solution

2 + lo g_{5} (x)

Solution steps

lo g_{5} (25 x)

Factor the number:

25 = 5^{2}

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

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a^{b}) = b

lo g_{5} (5^{2}) = 2

= 2 + lo g_{5} (x)

Popular Examples

9 x + 75 = - 51

6 (x - 1) = 18

factor 3x^4+5x^3+25x^2+45x-18 factor

3 x^{4} + 5 x^{3} + 25 x^{2} + 45 x - 18

factor 2x^2-5x-25 factor

2 x^{2} - 5 x - 25

factor-x^4+5x^2-4 factor

- x^{4} + 5 x^{2} - 4

Frequently Asked Questions (FAQ)

What is log_{5}(25x) ?
The solution to log_{5}(25x) is 2+log_{5}(x)