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Popular >

expand log_{5}(25x^2)

Solution

expand

lo g_{5} (25 x^{2})

Solution

2 + 2 lo g_{5} (x)

Solution steps

lo g_{5} (25 x^{2})

Apply log rule:

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

lo g_{5} (25 x^{2}) = lo g_{5} (25) + lo g_{5} (x^{2})

= lo g_{5} (25) + lo g_{5} (x^{2})

Apply log rule:

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

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

= lo g_{5} (25) + 2 lo g_{5} (x)

lo g_{5} (25) = 2

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

Popular Examples

expand log_{2}((6x)^5)expand

lo g_{2} ((6 x)^{5})

simplify 5log_{10}(a)+25log_{10}(b)simplify

5 lo g_{10} (a) + 25 lo g_{10} (b)

simplify 4ln(x)-1/5 ln(y)simplify

4 ln (x) - \frac{1}{5} ln (y)

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lo g_{10} (\frac{3 x}{7})

simplify log_{5}((25)/(sqrt(x+7)))simplify

lo g_{5} (\frac{25}{x + 7})

Frequently Asked Questions (FAQ)

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