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Popular >

simplify ln((e^9)/(17))

Solution

simplify

ln (\frac{e ^{9}}{17})

Solution

9 - ln (17)

+1

Decimal Notation

6.16678 \dots

Solution steps

ln (\frac{e ^{9}}{17})

Apply log rule:

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

ln (\frac{e ^{9}}{17}) = ln (e^{9}) - ln (17)

= ln (e^{9}) - ln (17)

Apply log rule:

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

ln (e^{9}) = 9 ln (e)

= 9 ln (e) - ln (17)

9 ln (e) = 9

= 9 - ln (17)

Popular Examples

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join (2ln(55/9))/(ln(2))-16 join

\frac{2 ln ( \frac{55}{9} )}{ln ( 2 )} - 16

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0.0259 \cdot ln (\frac{7 \cdot 1 0 ^{15}}{1.5 \cdot 1 0 ^{10}})

Frequently Asked Questions (FAQ)

What is ln((e^9)/(17)) ?
The solution to ln((e^9)/(17)) is 9-ln(17)