Solve for x where loge(4+3x) = 2?

2011-06-19 11:03 am
Solve for x where loge(4+3x) = 2?

answer is 1/3 (e^2 - 4)

i wonder how to do it

回答 (3)

2011-06-19 11:08 am
✔ 最佳答案
ln (4+3x) = 2

e^2 = (4+3x)

3x = e^2 - 4

x = (e^2 -4) /3

answer
參考: my brain (Prof TBT)
2011-06-19 6:09 pm
ln(4+3x) = 2
e^2=4+3x
e^2-4=3x
x=(e^2-4)/3
x=(1/3)(e^2-4)
2011-06-19 6:08 pm
raise both sides to a power of "e":

4+3x = e^2 (e^loge cancels)

3x = e^2 - 4 (subtract 4 from both sides)

x = 1/3 (e^2 - 4) (divide both sides by 3)


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