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Popular >

simplify log_{e}(2e^{3x})

Solution

simplify

lo g_{e} (2 e^{3 x})

Solution

ln (2) + 3 x

Solution steps

lo g_{e} (2 e^{3 x})

Apply log rule:

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

lo g_{e} (2 e^{3 x}) = lo g_{e} (2) + lo g_{e} (e^{3 x})

= lo g_{e} (2) + lo g_{e} (e^{3 x})

Apply log rule:

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

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

= lo g_{e} (2) + 3 x lo g_{e} (e)

lo g_{e} (2) = ln (2)

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

= ln (2) + 3 x

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Frequently Asked Questions (FAQ)

What is log_{e}(2e^{3x}) ?
The solution to log_{e}(2e^{3x}) is ln(2)+3x