Answer:
x = (ln(7) -1)/2
Explanation:
Take the natural log:
... 2x +1 = ln(7)
Subtract 1, then divide by 2:
... 2x = ln(7) -1
... x = (ln(7) -1)/2
x = [ln7 -1]/2
e ^ (2x+1) = 7
Take the natural log on each side
ln (e ^ (2x+1)) = ln (7)
2x+1 = ln(7)
Subtract 1
2x+1-1 = ln(7)-1
2x= ln(7)-1
Divide by 2
2x/2 = (ln(7)-1))/2
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