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Popular >

simplify ln(6e^{2x-y})

Solution

simplify

ln (6 e^{2 x - y})

Solution

ln (6) + 2 x - y

Solution steps

ln (6 e^{2 x - y})

Apply log rule:

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

ln (6 e^{2 x - y}) = ln (6) + ln (e^{2 x - y})

= ln (6) + ln (e^{2 x - y})

Apply log rule:

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

ln (e^{2 x - y}) = (2 x - y) ln (e)

= ln (6) + (2 x - y) ln (e)

(2 x - y) ln (e) = 2 x - y

= ln (6) + 2 x - y

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Frequently Asked Questions (FAQ)

What is ln(6e^{2x-y}) ?
The solution to ln(6e^{2x-y}) is ln(6)+2x-y