SOLUTION: Please assist with solving the following problem: Thank you so much!! 4(3^x)=10(2^x)

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Question 63956: Please assist with solving the following problem: Thank you so much!!
4(3^x)=10(2^x)
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
4%283%5Ex%29=10%282%5Ex%29
ln%284%283%5Ex%29%29=ln%2810%282%5Ex%29%29
ln%284%29%2Bln%283%5Ex%29=ln%2810%29%2Bln%282%5Ex%29
ln%284%29%2Bxln%283%29=ln%2810%29%2Bxln%282%29
ln%284%29%2Bxln%283%29-xln%282%29=ln%2810%29%2Bxln%282%29-xln%282%29
ln%284%29%2Bxln%283%29-xln%282%29=ln%2810%29
ln%284%29-ln%284%29%2Bxln%283%29-xln%282%29=ln%2810%29-ln%284%29
xln%283%29-xln%282%29=ln%2810%29-ln%284%29
x%28ln%283%29-ln%282%29%29=ln%2810%29-ln%284%29

x=%28ln%2810%29-ln%284%29%29%2F%28ln%283%29-ln%282%29%29
x = approximately 2.259851005
Happy Calculating!!!