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Popular >

simplify ln(((e^7))/2)

Solution

simplify

ln (\frac{( e ^{7} )}{2})

Solution

7 - ln (2)

+1

Decimal Notation

6.30685 \dots

Solution steps

ln (\frac{( e ^{7} )}{2})

Apply log rule:

lo g_{c} (\frac{a}{b}) = lo g_{c} (a) - lo g_{c} (b)

ln (\frac{( e ^{7} )}{2}) = ln ((e^{7})) - ln (2)

= ln (e^{7}) - ln (2)

Apply log rule:

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

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

= 7 ln (e) - ln (2)

7 ln (e) = 7

= 7 - ln (2)

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Frequently Asked Questions (FAQ)

What is ln(((e^7))/2) ?
The solution to ln(((e^7))/2) is 7-ln(2)