Logarithmic Inequalities: Solving e^(2-3x)>4

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To solve the inequality e^(2-3x) > 4, the correct approach involves taking the natural logarithm of both sides, leading to 2 - 3x > ln(4). This simplifies to finding the value of x by rearranging the inequality. The discussion includes some confusion about the initial steps, but ultimately clarifies the correct method. The conversation also features light-hearted banter about the use of 1337 speak. The key takeaway is the proper application of logarithmic properties to solve the inequality.
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Homework Statement


Solve the inequality:
e^(2-3x)>4


Homework Equations


none



The Attempt at a Solution


would i start of like this?
e^(2-3x)>4
ln(2-3x)>ln4

if so how do i continue?
 
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Forget that, I figured it out. I started it off kinda wrong.
 
yes el alem u r rite ...
 
Well no not exactly. e^{2-3x}>4 means ln(e^{2-3x})>ln(4)

So you just need to solve 2-3x>ln(4)
 
no ide bro... sorry
 
EL ALEM said:
Forget that, I figured it out. I started it off kinda wrong.

lasner12 said:
no ide bro... sorry
What language is this?
 
1337 speak :-p

coz he's leet
 
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