SOLUTION: 5(2^x)=5^x(10^x). Please solve and check this equation.

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Question 923725: 5(2^x)=5^x(10^x). Please solve and check this equation.
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
5%282%5Ex%29=5%5Ex%2A%2810%5Ex%29
5%282%5Ex%29=5%5Ex%2A%285%2A2%29%5Ex
5%2A2%5Ex=5%5Ex%2A5%5Ex%2A2%5Ex
5=5%5Ex%2A5%5Ex
5%5E1=5%5E%28x%2Bx%29
5%5E1=5%5E%282x%29
1=2x
highlight%28x=1%2F2%29

CHECK:
2%5E%28%221%2F2%22%29=sqrt%282%29 , 5%5E%28%221%2F2%22%29=sqrt%285%29 , and 10%5E%28%221%2F2%22%29=sqrt%2810%29
5%282%5E%221%2F2%22%29=5sqrt%282%29