SOLUTION: #36. log5(8-3x)=3 #48. log2(2x)+log2(x+2)=log2 16 #49. ln e^x-2 ln e = ln e^4

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: #36. log5(8-3x)=3 #48. log2(2x)+log2(x+2)=log2 16 #49. ln e^x-2 ln e = ln e^4      Log On


   

Question 135676This question is from textbook A Graphical Approach to COLLEGE ALGEBRA
: #36. log5(8-3x)=3
#48. log2(2x)+log2(x+2)=log2 16
#49. ln e^x-2 ln e = ln e^4 This question is from textbook A Graphical Approach to COLLEGE ALGEBRA

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
#36. log5(8-3x)=3
8-3x = 5^3
3x = 8-125
x = -117/3
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#48. log2(2x)+log2(x+2)=log2 16
log2[2x(x+2)] = log2 16
4x^2+4x = 16
x^2+x-4=0
x = [-1 +- sqrt(1-4*-4)]/2
x = [-1 +-sqrt(17)]/2
x = [-1+sqrt(17)]/2 or x = [-1-sqrt(17)]/2
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#49. ln e^x - 2ln e = ln e^4
x-2 = 4
x = 6
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Cheers,
Stan H.