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Popular >

simplify log_{5}(5x)

Solution

simplify

lo g_{5} (5 x)

Solution

1 + lo g_{5} (x)

Solution steps

lo g_{5} (5 x)

Apply log rule:

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

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

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

Apply log rule:

lo g_{a} (a) = 1

lo g_{5} (5) = 1

= 1 + lo g_{5} (x)

Popular Examples

simplify log_{10}(x/(100))simplify

lo g_{10} (\frac{x}{100})

simplify ln((3a^3b^2)/(sqrt(a)))simplify

ln (\frac{3 a ^{3} b ^{2}}{a})

simplify log_{6}(10)+log_{6}(15)simplify

lo g_{6} (10) + lo g_{6} (15)

simplify ln(6/(e^2))simplify

ln (\frac{6}{e ^{2}})

simplify 2log_{10}(x)+3log_{10}(x+1)simplify

2 lo g_{10} (x) + 3 lo g_{10} (x + 1)

Frequently Asked Questions (FAQ)

What is log_{5}(5x) ?
The solution to log_{5}(5x) is 1+log_{5}(x)