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serious [3.7K]
3 years ago
8

Solve the equation below for x 200=50e^3x

Mathematics
2 answers:
Marat540 [252]3 years ago
6 0
Rewrite the equation as
50e^3x=200

Divide each term by 50 and simply
e^3x=4

Take the natural logarithm of both sides
In (e^3x)= In (4)

Use the logarithm rules to move 3x out of the exponent
3x In (e) = In (4)

The natural logarithm of e is 1
3x*1= In (4)

Multiply 3 by 1
3x= In (4)

Divide each term by 3 and simplify
x= (In(4))/(3)

Exact form: x=(In (4))/(3)
Decimal form: x=0.46209812

Hope it helps if you still need help let me know
TiliK225 [7]3 years ago
6 0

Answer:

x= In4/3

Step-by-step explanation: other answer

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