Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2-10x+25=0
- Equation x-y=0
-
Equation 5^x=8^x
-
Equation x+12=5
- Express {x} in terms of y where:
- 16*x-17*y=-15
- -4*x-4*y=19
- 15*x+1*y=19
- -5*x-2*y=9
- Derivative of:
- -15
- Sum of series:
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-15
- Limit of the function:
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-15
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Identical expressions
- log10(x)* twenty =- fifteen
- logarithm of 10(x) multiply by 20 equally minus 15
- logarithm of 10(x) multiply by twenty equally minus fifteen
- log10(x)20=-15
- log10x20=-15
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Similar expressions
- log10(x)*20=+15
log10(x)*20=-15 equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
log(x) -------*20 = -15 log(10)
$$20 \frac{\log{\left(x \right)}}{\log{\left(10 \right)}} = -15$$
Detail solution
Given the equation
$$20 \frac{\log{\left(x \right)}}{\log{\left(10 \right)}} = -15$$
$$\frac{20 \log{\left(x \right)}}{\log{\left(10 \right)}} = -15$$
Let's divide both parts of the equation by the multiplier of log =20/log(10)
$$\log{\left(x \right)} = - \frac{3 \log{\left(10 \right)}}{4}$$
This equation is of the form:
By definition log
then
$$x = e^{- \frac{15}{20 \frac{1}{\log{\left(10 \right)}}}}$$
simplify
$$x = \frac{\sqrt[4]{10}}{10}$$
$$20 \frac{\log{\left(x \right)}}{\log{\left(10 \right)}} = -15$$
$$\frac{20 \log{\left(x \right)}}{\log{\left(10 \right)}} = -15$$
Let's divide both parts of the equation by the multiplier of log =20/log(10)
$$\log{\left(x \right)} = - \frac{3 \log{\left(10 \right)}}{4}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{- \frac{15}{20 \frac{1}{\log{\left(10 \right)}}}}$$
simplify
$$x = \frac{\sqrt[4]{10}}{10}$$
Rapid solution
[src]
4 ____
\/ 10
x1 = ------
10
$$x_{1} = \frac{\sqrt[4]{10}}{10}$$
x1 = 10^(1/4)/10
Sum and product of roots
[src]
sum
4 ____ \/ 10 ------ 10
$$\frac{\sqrt[4]{10}}{10}$$
=
4 ____ \/ 10 ------ 10
$$\frac{\sqrt[4]{10}}{10}$$
product
4 ____ \/ 10 ------ 10
$$\frac{\sqrt[4]{10}}{10}$$
=
4 ____ \/ 10 ------ 10
$$\frac{\sqrt[4]{10}}{10}$$
10^(1/4)/10