Use natural log to solve 2e to exp 7x66 XSolution2e7x 6 6

Use natural log to solve 2e to exp 7x+6=6. X=

Solution

2e^(7x + 6) = 6

e^(7x + 6) = 6/2

e^(7x + 6) = 3

ln e^(7x + 6) = ln 3

(7x + 6) ln e = ln 3

7x + 6 = ln 3

7x = ln 3 - 6

x = (ln 3 - 6)/7

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Use natural log to solve 2e to exp 7x+6=6. X=Solution2e^(7x + 6) = 6 e^(7x + 6) = 6/2 e^(7x + 6) = 3 ln e^(7x + 6) = ln 3 (7x + 6) ln e = ln 3 7x + 6 = ln 3 7x

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