5 + (-4) = 1 x = -4
2 ln(9) + 2 ln(5) = 2 ln(x) - 3ln(81) + ln(25) = ln(x2) - 37.61332 = ln(x2) - 3ln(x2) = 10.61332ln(x) = 5.30666x = e5.30666 = 201.676 (rounded)
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e3x+5 x ex =7 e3x+5+x=7 4x+5=ln(7) x=(ln(7)-5)/4
ln(x+14)-lnx=3ln2 ln[(x+14)/x]=ln8 (x+14)/x=8 x+14=8x 14=7x 2=x x=2 Check this answer by plugging x=2 back into the original equation: ln(2+14)-ln(2)=3ln2 ln(16)-ln(2)=3ln2 ln(16/2)=3ln2 ln8=3ln2 3ln2=3ln2 There you go!
5 + (-4) = 1 x = -4
Ln 4 + 3Ln x = 5Ln 2 Ln 4 + Ln x3= Ln 25 = Ln 32 Ln x3= Ln 32 - Ln 4 = Ln (32/4) = Ln 8= Ln 2
-3 + ln(x) = 5 ln(x) = 8 eln(x) = e8 x = e8 x =~ 2981
2 ln(9) + 2 ln(5) = 2 ln(x) - 3ln(81) + ln(25) = ln(x2) - 37.61332 = ln(x2) - 3ln(x2) = 10.61332ln(x) = 5.30666x = e5.30666 = 201.676 (rounded)
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How do you solve ln|tan(x)|=ln|sin(x)|-ln|cos(x)|? Well you start by........
You can also write this as ln(6 times 4)
3 ln(x) = ln(3x)ln(x3) = ln(3x)x3 = 3xx2 = 3x = sqrt(3)x = 1.732 (rounded)
Because of the commutative property of addition.
e3x+5 x ex =7 e3x+5+x=7 4x+5=ln(7) x=(ln(7)-5)/4
ln(x+14)-lnx=3ln2 ln[(x+14)/x]=ln8 (x+14)/x=8 x+14=8x 14=7x 2=x x=2 Check this answer by plugging x=2 back into the original equation: ln(2+14)-ln(2)=3ln2 ln(16)-ln(2)=3ln2 ln(16/2)=3ln2 ln8=3ln2 3ln2=3ln2 There you go!
In the equation ln(x) = 5, the solution is x = (about) 148.4. To solve, simply raise e to the power of both sides and reduce... ln(x) = 5 eln(x) = e5 x = 148.4