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Popular >

simplify log_{e}(3x)

Solution

simplify

lo g_{e} (3 x)

Solution

ln (3) + ln (x)

Solution steps

lo g_{e} (3 x)

Apply log rule:

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

lo g_{e} (3 x) = lo g_{e} (3) + lo g_{e} (x)

= lo g_{e} (3) + lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (3) + lo g_{e} (x)

Apply log rule:

lo g_{e} (x) = ln (x)

= ln (3) + ln (x)

Popular Examples

simplify log_{4}(x^7)-log_{4}(x^2)+4log_{4}(x^3)simplify

lo g_{4} (x^{7}) - lo g_{4} (x^{2}) + 4 lo g_{4} (x^{3})

simplify log_{3}(2)-log_{3}(11)simplify

lo g_{3} (2) - lo g_{3} (11)

simplify log_{2}(x*y*z^3)simplify

lo g_{2} (x \cdot y \cdot z^{3})

simplify-1/3 log_{10}(1/3)-2/3 log_{10}(2/3)simplify

- \frac{1}{3} lo g_{10} (\frac{1}{3}) - \frac{2}{3} lo g_{10} (\frac{2}{3})

simplify log_{2}(225)-log_{2}(5)+log_{2}(3)simplify

lo g_{2} (225) - lo g_{2} (5) + lo g_{2} (3)

Frequently Asked Questions (FAQ)

What is log_{e}(3x) ?
The solution to log_{e}(3x) is ln(3)+ln(x)