July 4th, 2015, 01:28 PM  #1 
Newbie Joined: Jul 2015 From: California Posts: 5 Thanks: 0  Solve for X
Can someone help show the process? Solve for X 3^(5x+2) = 27^(x4) Note: the answer is x = 7 
July 4th, 2015, 02:05 PM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,044 Thanks: 1627  
July 24th, 2015, 04:44 PM  #3 
Newbie Joined: Jul 2015 From: Serbia Posts: 8 Thanks: 1 
\[\begin{array}{l} {3^{5x + 2}} = {27^{x  4}}\\ {3^{5x + 2}} = {\left( {{3^3}} \right)^{x  4}}\\ {3^{5x + 2}} = {3^{3\left( {x  4} \right)}}\\ {3^{5x + 2}} = {3^{3x  12}}\\ 5x + 2 = 3x  12\\ 5x  3x =  12  2\\ 2x =  14\\ x =  \frac{{14}}{2} =  7 \end{array}\] 
July 24th, 2015, 06:42 PM  #4 
Senior Member Joined: May 2015 From: Varanasi Posts: 110 Thanks: 5 Math Focus: Calculus 
The equation will simplify to 5x+2=3x12 on solving you will get, x=7 

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