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Popular >

simplify ln((2)e^{7b})

Solution

simplify

ln ((2) e^{7 b})

Solution

ln (2) + 7 b

Solution steps

ln ((2) e^{7 b})

Apply log rule:

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

ln ((2) e^{7 b}) = ln (2) + ln (e^{7 b})

= ln (2) + ln (e^{7 b})

Apply log rule:

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

ln (e^{7 b}) = 7 b ln (e)

= ln (2) + 7 b ln (e)

7 b ln (e) = 7 b

= ln (2) + 7 b

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Frequently Asked Questions (FAQ)

What is ln((2)e^{7b}) ?
The solution to ln((2)e^{7b}) is ln(2)+7b