solve for x.
answer: -0.453
2007-03-15 01:45:22 · 4 answers · asked by cristiana 1 in Science & Mathematics ➔ Mathematics
3e^x = 4
e^x = 4/3
x = ln(4/3) = ln4 - ln3
2007-03-15 01:51:08 · answer #1 · answered by blighmaster 3 · 0⤊ 0⤋
2e^x = 3-e^(x+1)
Move all x's to same side by adding e^(x+1)
e^(x+1) + 2e^x = 3
factor out e^x on left side of equation
e^x ( e + 2) = 3
isolate e^x by dividing by constant (e + 2)
e^x = 3 / (e + 2)
take natural log (log base e) of both sides
x = ln (3 / (e + 2))
apply law of exponents to right side
x = ln 3 - ln (e + 2)
solve for ln3 and ln (e+2)
x = 1.0986 - 1.5514
subtract
x = -.4528
Note: The only way I could arrive at the answer you found in the back of your textbook - the one you gave - was to enclose the exponent for e on the right side of the original equation in parenthesis. Otherwise, your provided answer was impossible to achieve.
2007-03-15 08:59:32 · answer #2 · answered by John B 4 · 0⤊ 0⤋
no idea but plz plz dont ask us ur home work cuz thts bad manners
2007-03-15 08:49:29 · answer #3 · answered by Anonymous · 0⤊ 1⤋
blighmaster is correct.
ln4=1.386
ln3=1.099
So x=0.287
2007-03-15 09:00:18 · answer #4 · answered by Lilly26 3 · 0⤊ 0⤋