SOLUTION: {{{0.2^(x+1)=3^(x)}}}

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Question 750046: 0.2%5E%28x%2B1%29=3%5E%28x%29
Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
0.2%5E%28x%2B1%29=3%5E%28x%29

log%280.2%5E%28x%2B1%29%29=log%283%5E%28x%29%29
%28x%2B1%29%2Alog%280.2%29=x%2Alog%283%29
x%2Alog%280.2%29%2Blog%280.2%29=x%2Alog%283%29
Combining steps next
x%2Alog%280.2%29-x%2Alog%283%29=-log%280.2%29
Multiplying both sides by negative 1
and reverse-distribute the x,
x%28log%283%29-log%280.2%29%29=log%280.2%29

highlight%28x=%28log%280.2%29%29%2F%28%28log%283%29-log%280.2%29%29%29%29