Mister Exam
Other calculators
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How to use it?
- Equation:
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Equation x^2+9=(x+9)^2
-
Equation cos(x)=-1
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Equation 3*x+50=77
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Equation 5-2(x-1)=4-x
- Express {x} in terms of y where:
- 10*x+5*y=-17
- 14*x+16*y=-3
- -19*x+1*y=0
- 10*x+18*y=6
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Identical expressions
- three ^(3x- twenty-eight)* seven ^(x- eight)= twenty-one ^(2x- twenty-three)
- 3 to the power of (3x minus 28) multiply by 7 to the power of (x minus 8) equally 21 to the power of (2x minus 23)
- three to the power of (3x minus twenty minus eight) multiply by seven to the power of (x minus eight) equally twenty minus one to the power of (2x minus twenty minus three)
- 3(3x-28)*7(x-8)=21(2x-23)
- 33x-28*7x-8=212x-23
- 3^(3x-28)7^(x-8)=21^(2x-23)
- 3(3x-28)7(x-8)=21(2x-23)
- 33x-287x-8=212x-23
- 3^3x-287^x-8=21^2x-23
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Similar expressions
- 3^(3x-28)*7^(x-8)=21^(2x+23)
- 3^(3x-28)*7^(x+8)=21^(2x-23)
- 3^(3x+28)*7^(x-8)=21^(2x-23)
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What you mean?
- 3^((3*x - 1*28)^(7^(x - 1*8))) = 21^(2*x - 1*23)
You entered:
3^(3x-28)*7^(x-8)=21^(2x-23)
What you mean?
3^(3x-28)*7^(x-8)=21^(2x-23) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
3*x - 28 x - 8 2*x - 23 3 *7 = 21
$$3^{3 x - 28} \cdot 7^{x - 8} = 21^{2 x - 23}$$
Rapid solution
[src]
/ 5 \
| --------|
| log(3/7)|
x1 = log\3/343 /
$$x_{1} = \log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)}$$
/ 1 \
| --------|
| log(7/3)|
|/4747561509943\ |
x2 = log||-------------| |
\\ 243 / /
$$x_{2} = \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
Sum and product of roots
[src]
sum
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
0 + log\3/343 / + log||-------------| |
\\ 243 / /
$$\left(0 + \log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)}\right) + \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
=
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 / + log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} + \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
product
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
1*log\3/343 /*log||-------------| |
\\ 243 / /
$$1 \log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
=
/ 1 \
/ 5 \ | --------|
| --------| | log(7/3)|
| log(3/7)| |/4747561509943\ |
log\3/343 /*log||-------------| |
\\ 243 / /
$$\log{\left(\left(\frac{3}{343}\right)^{\frac{5}{\log{\left(\frac{3}{7} \right)}}} \right)} \log{\left(\left(\frac{4747561509943}{243}\right)^{\frac{1}{\log{\left(\frac{7}{3} \right)}}} \right)}$$
log((3/343)^(5/log(3/7)))*log((4747561509943/243)^(1/log(7/3)))
Numerical answer
[src]
x1 = -47.8825014796269
x2 = -41.8825014796269
x3 = -99.8825014796269
x4 = -81.8825014796269
x5 = -17.8825014796269
x6 = -79.8825014796269
x7 = -61.8825014796269
x8 = -13.8825014796269
x9 = -85.8825014796269
x10 = -55.8825014796269
x11 = -39.8825014796269
x12 = -49.8825014796269
x13 = -33.8825014796269
x14 = -25.8825014796269
x15 = -7.88250147962725
x16 = -83.8825014796269
x17 = -101.882501479627
x18 = -15.8825014796269
x19 = -59.8825014796269
x20 = -5.88250147962892
x21 = 0.117498520041663
x22 = -91.8825014796269
x23 = -97.8825014796269
x24 = -21.8825014796269
x25 = -57.8825014796269
x26 = -77.8825014796269
x27 = -63.8825014796269
x28 = 2.11749851856847
x29 = -71.8825014796269
x30 = -51.8825014796269
x31 = -67.8825014796269
x32 = -37.8825014796269
x33 = -73.8825014796269
x34 = -103.882501479627
x35 = -93.8825014796269
x36 = -11.8825014796269
x37 = -89.8825014796269
x38 = -19.8825014796269
x39 = -23.8825014796269
x40 = -75.8825014796269
x41 = -45.8825014796269
x42 = -9.88250147962694
x43 = -43.8825014796269
x44 = -29.8825014796269
x45 = -1.88250147968775
x46 = -65.8825014796269
x47 = -27.8825014796269
x48 = -31.8825014796269
x49 = -35.8825014796269
x50 = -69.8825014796269
x51 = -53.8825014796269
x52 = -95.8825014796269
x53 = -87.8825014796269
x54 = -3.88250147963805
x54 = -3.88250147963805
The graph