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Popular >

simplify log_{n}(mnp)

Solution

simplify

lo g_{n} (m \cdot n \cdot p)

Solution

lo g_{n} (m) + 1 + lo g_{n} (p)

Solution steps

lo g_{n} (mn p)

Apply log rule:

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

lo g_{n} (mn p) = lo g_{n} (m) + lo g_{n} (n) + lo g_{n} (p)

= lo g_{n} (m) + lo g_{n} (n) + lo g_{n} (p)

Apply log rule:

lo g_{a} (a) = 1

lo g_{n} (n) = 1

= lo g_{n} (m) + 1 + lo g_{n} (p)

Popular Examples

simplify log_{5}((x+1)/x)simplify

lo g_{5} (\frac{x + 1}{x})

simplify-log_{10}(2.1*10^{-4})simplify

- lo g_{10} (2.1 \cdot 1 0^{- 4})

simplify log_{2}(9)+log_{2}(11)simplify

lo g_{2} (9) + lo g_{2} (11)

simplify log_{10}(((x+2)^2)/(x-1))simplify

lo g_{10} (\frac{( x + 2 ) ^{2}}{x - 1})

simplify ln(x^5sqrt(4-x))simplify

ln (x^{5} 4 - x)

Frequently Asked Questions (FAQ)

What is log_{n}(m*n*p) ?
The solution to log_{n}(m*n*p) is log_{n}(m)+1+log_{n}(p)