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Popular >

simplify log_{10}(Ax^n)

Solution

simplify

lo g_{10} (A x^{n})

Solution

lo g_{10} (A) + n lo g_{10} (x)

Solution steps

lo g_{10} (A x^{n})

Apply log rule:

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

lo g_{10} (A x^{n}) = lo g_{10} (A) + lo g_{10} (x^{n})

= lo g_{10} (A) + lo g_{10} (x^{n})

Simplify

lo g_{10} (x^{n}) : n lo g_{10} (x)

= lo g_{10} (A) + n lo g_{10} (x)

Popular Examples

simplify log_{5}(50)-log_{5}(0.4)simplify

lo g_{5} (50) - lo g_{5} (0.4)

simplify log_{5}((sqrt(x))/(3^2z))simplify

lo g_{5} (\frac{x}{3 ^{2} z})

simplify 3.8+log_{10}((0.18)/(0.52))simplify

3.8 + lo g_{10} (\frac{0.18}{0.52})

simplify log_{10}((y^9)/(sqrt(2x)))simplify

lo g_{10} (\frac{y ^{9}}{2 x})

simplify ln(7/(5x^5y))simplify

ln (\frac{7}{5 x ^{5} y})

Frequently Asked Questions (FAQ)

What is log_{10}(Ax^n) ?
The solution to log_{10}(Ax^n) is log_{10}(A)+nlog_{10}(x)