SOLUTION: Find the exact solution and decimal solution: e^2x+2e^x-48=0
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Question 879104
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Find the exact solution and decimal solution:
e^2x+2e^x-48=0
Answer by
lwsshak3(11628)
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Find the exact solution and decimal solution:
e^2x+2e^x-48=0
***
let u=e^x
u^2=e^2x
..
u^2+2u-48=0
(u+8)(u-6)=0
u=-8
or
u=6
..
for u=-8=e^x
no solution (e^x>0)
..
for u=6=e^x
xlne=ln6
x≈1.79