Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation (-5*x-3)*(2*x-1)=0
-
Equation 4-6*(x+2)=3-5*x
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Equation tg(x)=-1
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Equation x^2+5x-14=0
- Express {x} in terms of y where:
- 4*x+3*y=-15
- -18*x-3*y=2
- 16*x-20*y=-4
- (x^2+y^2-1)^3-x^2*y^3=0
- Derivative of:
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lgx
- Graphing y =:
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lgx
- Integral of d{x}:
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lgx
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Identical expressions
- lgx=lg25-lg5.
- lgx equally lg25 minus lg5.
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Similar expressions
- 3^lg(x)=1458-x^lg(3)
- 1/2lg(x-3)+lgsqrt2x+2=lg(x+1)
- lg(x-1)+lg(x-1)=0
- lgx=lg25+lg5.
lgx=lg25-lg5. equation
The teacher will be very surprised to see your correct solution 😉
The solution
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log(x) = log(25) - log(5)
$$\log{\left(x \right)} = - \log{\left(5 \right)} + \log{\left(25 \right)}$$
Detail solution
Given the equation
$$\log{\left(x \right)} = - \log{\left(5 \right)} + \log{\left(25 \right)}$$
$$\log{\left(x \right)} = - \log{\left(5 \right)} + \log{\left(25 \right)}$$
This equation is of the form:
By definition log
then
$$x = e^{\frac{- \log{\left(5 \right)} + \log{\left(25 \right)}}{1}}$$
simplify
$$x = 5$$
$$\log{\left(x \right)} = - \log{\left(5 \right)} + \log{\left(25 \right)}$$
$$\log{\left(x \right)} = - \log{\left(5 \right)} + \log{\left(25 \right)}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{\frac{- \log{\left(5 \right)} + \log{\left(25 \right)}}{1}}$$
simplify
$$x = 5$$