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Popular >

simplify ln(ke^{6x+1})

Solution

simplify

ln (k e^{6 x + 1})

Solution

ln (k) + 6 x + 1

Solution steps

ln (k e^{6 x + 1})

Apply log rule:

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

ln (k e^{6 x + 1}) = ln (k) + ln (e^{6 x + 1})

= ln (k) + ln (e^{6 x + 1})

Apply log rule:

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

ln (e^{6 x + 1}) = (6 x + 1) ln (e)

= ln (k) + (6 x + 1) ln (e)

(6 x + 1) ln (e) = 6 x + 1

= ln (k) + 6 x + 1

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Frequently Asked Questions (FAQ)

What is ln(ke^{6x+1}) ?
The solution to ln(ke^{6x+1}) is ln(k)+6x+1