Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x-4/3+x/2=5
-
Equation 7*x^2-28=0
- Equation 10*X=X
- Equation 30=2(x+4x)
- Express {x} in terms of y where:
- -3*x+8*y=4
- 8*x+5*y=5
- 15*x+19*y=1
- -12*x+8*y=14
-
Identical expressions
- two ^(3x- four)= ten ^(2x)
- 2 to the power of (3x minus 4) equally 10 to the power of (2x)
- two to the power of (3x minus four) equally ten to the power of (2x)
- 2(3x-4)=10(2x)
- 23x-4=102x
- 2^3x-4=10^2x
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Similar expressions
- 2^(3x+4)=10^(2x)
2^(3x-4)=10^(2x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Rapid solution
[src]
/ 4 \
| ---------|
| log(2/25)|
x1 = log\2 /
$$x_{1} = \log{\left(2^{\frac{4}{\log{\left(\frac{2}{25} \right)}}} \right)}$$
x1 = log(2^(4/log(2/25)))
Sum and product of roots
[src]
sum
/ 4 \ | ---------| | log(2/25)| log\2 /
$$\log{\left(2^{\frac{4}{\log{\left(\frac{2}{25} \right)}}} \right)}$$
=
/ 4 \ | ---------| | log(2/25)| log\2 /
$$\log{\left(2^{\frac{4}{\log{\left(\frac{2}{25} \right)}}} \right)}$$
product
/ 4 \ | ---------| | log(2/25)| log\2 /
$$\log{\left(2^{\frac{4}{\log{\left(\frac{2}{25} \right)}}} \right)}$$
=
/ 4 \ | ---------| | log(2/25)| log\2 /
$$\log{\left(2^{\frac{4}{\log{\left(\frac{2}{25} \right)}}} \right)}$$
log(2^(4/log(2/25)))
Numerical answer
[src]
x1 = -67.964987090676
x2 = -19.9649870908809
x3 = -61.964987090676
x4 = -85.964987090676
x5 = -13.9657694339226
x6 = -59.964987090676
x7 = -41.964987090676
x8 = -95.964987090676
x9 = -57.964987090676
x10 = -45.964987090676
x11 = -75.964987090676
x12 = -21.9649870906774
x13 = -53.964987090676
x14 = -81.964987090676
x15 = -91.964987090676
x16 = -49.964987090676
x17 = -105.964987090676
x18 = -97.964987090676
x19 = -17.9649871226843
x20 = -87.964987090676
x21 = -1.09773816300014
x22 = -107.964987090676
x23 = -51.964987090676
x24 = -43.964987090676
x25 = -69.964987090676
x26 = -15.9649920920027
x27 = -23.9649870906761
x28 = -73.964987090676
x29 = -77.964987090676
x30 = -79.964987090676
x31 = -37.964987090676
x32 = -99.964987090676
x33 = -27.964987090676
x34 = -35.964987090676
x35 = -39.964987090676
x36 = -55.964987090676
x37 = -65.964987090676
x38 = -12.1173372984578
x39 = -109.964987090676
x40 = -71.964987090676
x41 = -25.964987090676
x42 = -83.964987090676
x43 = -31.964987090676
x44 = -93.964987090676
x45 = -101.964987090676
x46 = -103.964987090676
x47 = -47.964987090676
x48 = -63.964987090676
x49 = -33.964987090676
x50 = -89.964987090676
x51 = -29.964987090676
x51 = -29.964987090676