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Popular >

simplify log_{8}(xe^x)

Solution

simplify

lo g_{8} (x e^{x})

Solution

lo g_{8} (x) + x lo g_{8} (e)

Solution steps

lo g_{8} (x e^{x})

Apply log rule:

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

lo g_{8} (x e^{x}) = lo g_{8} (x) + lo g_{8} (e^{x})

= lo g_{8} (x) + lo g_{8} (e^{x})

Apply log rule:

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

lo g_{8} (e^{x}) = x lo g_{8} (e)

= lo g_{8} (x) + x lo g_{8} (e)

Popular Examples

simplify ln((6.5)/5)simplify

ln (\frac{6.5}{5})

simplify 0.65log_{10}(0.39x)+1.45 simplify

0.65 lo g_{10} (0.39 x) + 1.45

simplify ln(200/100)simplify

ln (\frac{200}{100})

simplify ln(5*e^7)simplify

ln (5 \cdot e^{7})

simplify-log_{10}(2.8*10^{-8})simplify

- lo g_{10} (2.8 \cdot 1 0^{- 8})

Frequently Asked Questions (FAQ)

What is log_{8}(xe^x) ?
The solution to log_{8}(xe^x) is log_{8}(x)+xlog_{8}(e)