Answer:
x ≈ 0.499
Step-by-step explanation:
The value of x can be found by undoing the operations done to it.
Solution
The operations done to the variable are ...
- multiply it by 2
- use that as the exponent with a base of e
- multiply the result by 7
- add 10
We undo these operations in reverse order:
7e^(2x) + 10 = 29 . . . . given
7e^(2x) = 19 . . . . . . . . . subtract 10
e^(2x) = 19/7 . . . . . . . . . divide by 7
2x = ln(19/7) . . . . . . . . take the natural logarithm
x = (ln(19/7))/2 . . . . . . divide by 2
The rounded result is ...
x ≈ 0.499
