Mister Exam
Other calculators
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How to use it?
- Express {x} in terms of y where:
- lnx^y=ln1
- sqrt(1-x)^2+(4-y)^2=0
- lnx+sin(y/x+2x)=4
- cos(x-y)+(4-y)/(x^2)+ln(1-x^2)+tg2y+2=0
- Equation:
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Equation x-1/5-x=2/9
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Equation 1/(x-4)^2-7/x-4+10=0
- Equation x⁴-2x²-8=0
- Equation sin(z)=πi
- Derivative of:
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ln1
- Integral of d{x}:
- ln1
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Identical expressions
- lnx^y=ln1
- lnx to the power of y equally ln1
- lnxy=ln1
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Similar expressions
- cos(x-y)+(4-y)/(x^2)+ln(1-x^2)+tg2y+2=0
Express x in terms of y where lnx^y=ln1
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
/y ___\ /y ___\
/ /y ___\\ re\\/ 0 / re\\/ 0 / / /y ___\\
x1 = cos\im\\/ 0 //*e + I*e *sin\im\\/ 0 //
$$x_{1} = i e^{\operatorname{re}{\left(0^{\frac{1}{y}}\right)}} \sin{\left(\operatorname{im}{\left(0^{\frac{1}{y}}\right)} \right)} + e^{\operatorname{re}{\left(0^{\frac{1}{y}}\right)}} \cos{\left(\operatorname{im}{\left(0^{\frac{1}{y}}\right)} \right)}$$
x1 = i*exp(re(0^(1/y)))*sin(im(0^(1/y))) + exp(re(0^(1/y)))*cos(im(0^(1/y)))