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- Equation:
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Equation z^2-6*z+10=0
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Equation x^2+5x+6=0
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Equation x^2-6x+5=0
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Equation x^2=-49
- Express {x} in terms of y where:
- 8*x+3*y=4
- -11*x-3*y=14
- -2*x+14*y=9
- -1*x-17*y=-12
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Identical expressions
- log(one / three)*(five *x2+x- fifteen)=log(one / three)*(x- ten)
- logarithm of (1 divide by 3) multiply by (5 multiply by x2 plus x minus 15) equally logarithm of (1 divide by 3) multiply by (x minus 10)
- logarithm of (one divide by three) multiply by (five multiply by x2 plus x minus fifteen) equally logarithm of (one divide by three) multiply by (x minus ten)
- log(1/3)(5x2+x-15)=log(1/3)(x-10)
- log1/35x2+x-15=log1/3x-10
- log(1 divide by 3)*(5*x2+x-15)=log(1 divide by 3)*(x-10)
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Similar expressions
- log(1/3)*(5*x2-x-15)=log(1/3)*(x-10)
- log(1/3)*(5*x2+x-15)=log(1/3)*(x+10)
- log(1/3)*(5*x2+x+15)=log(1/3)*(x-10)
log(1/3)*(5*x2+x-15)=log(1/3)*(x-10) equation
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The solution
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log(1/3)*(5*x2 + x - 15) = log(1/3)*(x - 10)
$$\left(\left(x + 5 x_{2}\right) - 15\right) \log{\left(\frac{1}{3} \right)} = \left(x - 10\right) \log{\left(\frac{1}{3} \right)}$$
Detail solution
Given the equation:
Expand expressions:
Reducing, you get:
Expand brackets in the left part
This equation has no roots
log(1/3)*(5*x2+x-15) = log(1/3)*(x-10)
Expand expressions:
15*log(3) - x*log(3) - 5*x2*log(3) = log(1/3)*(x-10)
log(1/3)*(5*x2+x-15) = 10*log(3) - x*log(3)
Reducing, you get:
5*log(3) - 5*x2*log(3) = 0
Expand brackets in the left part
5*log3 - 5*x2*log3 = 0
This equation has no roots
The graph