SOLUTION: Show that the solution for this equation '16^x -5 *8^x= 0' is x=log 5 base 2

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Question 963077: Show that the solution for this equation '16^x -5 *8^x= 0' is x=log 5 base 2
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
Show that the solution for this equation '16^x -5 *8^x= 0' is x=log 5 base 2
16^x=5*8^x
take log base 2 of both sides
log%282%2C%2816%5Ex%29%29=log%282%2C+%285%29%29%2Blog%282%2C%288%5Ex%29%29
xlog%282%2C%2816%29%29=log%282%2C+%285%29%29%2Bxlog%282%2C%288%29%29
4x=log%282%2C+%285%29%29%2B3x
x=log%282%2C+%285%29%29