Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation 9-8*x=-9*x+15
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Equation 4^x-1/2-6*2^x-1+3=0
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Equation x^2-25=0
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Equation x^2+6*x+7=0
- Express {x} in terms of y where:
- -16*x-9*y=-1
- -15*x+7*y=1
- 18*x-6*y=7
- -19*x+16*y=-9
- Derivative of:
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log(x)
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x-5
- Integral of d{x}:
- log(x)
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x-5
- Graphing y =:
- log(x)
- x-5
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Identical expressions
- log(x)=x- five
- logarithm of (x) equally x minus 5
- logarithm of (x) equally x minus five
- logx=x-5
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Similar expressions
- 4*x*(-(5/2)*y)=0
- sqrt(x)-5*sqrt^4(x)+6=0
- 3+2*log(x+1)*3=2*log3*(x+1)
- 1/2log25-logx+3logx-log5+2logx
- (cos(x)/3*(1/100))*x-(5/2)=0
- log(x)=x+5
- 5*log(x/10)/log(10)=25-2*x/1000
log(x)=x-5 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
/ -5\ x1 = -W\-e /
$$x_{1} = - W\left(- \frac{1}{e^{5}}\right)$$
/ -5 \ x2 = -W\-e , -1/
$$x_{2} = - W_{-1}\left(- \frac{1}{e^{5}}\right)$$
x2 = -LambertW(-exp(-5, -1))
Sum and product of roots
[src]
sum
/ -5\ / -5 \ - W\-e / - W\-e , -1/
$$- W\left(- \frac{1}{e^{5}}\right) - W_{-1}\left(- \frac{1}{e^{5}}\right)$$
=
/ -5\ / -5 \ - W\-e / - W\-e , -1/
$$- W\left(- \frac{1}{e^{5}}\right) - W_{-1}\left(- \frac{1}{e^{5}}\right)$$
product
/ -5\ / / -5 \\ -W\-e /*\-W\-e , -1//
$$- W\left(- \frac{1}{e^{5}}\right) \left(- W_{-1}\left(- \frac{1}{e^{5}}\right)\right)$$
=
/ -5\ / -5 \ W\-e /*W\-e , -1/
$$W\left(- \frac{1}{e^{5}}\right) W_{-1}\left(- \frac{1}{e^{5}}\right)$$
LambertW(-exp(-5))*LambertW(-exp(-5), -1)
The graph