Question
write e^(q/x2)=x1 + 1 in terms of x2
Answers
Answered by
GPT 3.5
To write the equation e^(q/x^2) = x1 + 1 in terms of x2, we need to isolate x2 on one side of the equation.
1. Start by taking the natural logarithm (ln) of both sides of the equation:
ln(e^(q/x^2)) = ln(x1 + 1)
2. Simplify the left side of the equation using the logarithmic property:
(q/x^2) * ln(e) = ln(x1 + 1)
3. Since ln(e) = 1, the equation becomes:
(q/x^2) = ln(x1 + 1)
4. Multiply both sides of the equation by x^2 to get rid of the denominator:
q = x^2 * ln(x1 + 1)
5. Now we can write the equation in terms of x2:
q = x2^2 * ln(x1 + 1)
Therefore, e^(q/x^2) = x1 + 1 can be expressed as q = x2^2 * ln(x1 + 1) in terms of x2.
1. Start by taking the natural logarithm (ln) of both sides of the equation:
ln(e^(q/x^2)) = ln(x1 + 1)
2. Simplify the left side of the equation using the logarithmic property:
(q/x^2) * ln(e) = ln(x1 + 1)
3. Since ln(e) = 1, the equation becomes:
(q/x^2) = ln(x1 + 1)
4. Multiply both sides of the equation by x^2 to get rid of the denominator:
q = x^2 * ln(x1 + 1)
5. Now we can write the equation in terms of x2:
q = x2^2 * ln(x1 + 1)
Therefore, e^(q/x^2) = x1 + 1 can be expressed as q = x2^2 * ln(x1 + 1) in terms of x2.