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- Equation:
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Equation 8y-3-(5-2y)=4,3
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- Express {x} in terms of y where:
- -9*x-8*y=12
- 4*x-4*y=8
- -18*x-3*y=-20
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Identical expressions
- exp(zero , seven thousand and ninety-four *x)= three , fifty-three * ten ^(fourteen)
- exponent of (0,007094 multiply by x) equally 3,053 multiply by 10 to the power of (14)
- exponent of (zero , seven thousand and ninety minus four multiply by x) equally three , fifty minus three multiply by ten to the power of (fourteen)
- exp(0,007094*x)=3,053*10(14)
- exp0,007094*x=3,053*1014
- exp(0,007094x)=3,05310^(14)
- exp(0,007094x)=3,05310(14)
- exp0,007094x=3,0531014
- exp0,007094x=3,05310^14
exp(0,007094*x)=3,053*10^(14) equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
0.007094*x 3053*100000000000000
e = --------------------
1000
$$e^{0.007094 x} = \frac{3053 \cdot 100000000000000}{1000}$$
Detail solution
Given the equation:
$$e^{0.007094 x} = \frac{3053 \cdot 100000000000000}{1000}$$
or
$$e^{0.007094 x} + \frac{\left(-3053\right) 100000000000000}{1000} = 0$$
or
$$1.00711922202441^{x} = 305300000000000$$
or
$$1.00711922202441^{x} = 305300000000000$$
- this is the simplest exponential equation
Do replacement
$$v = 1.00711922202441^{x}$$
we get
$$v - 305300000000000 = 0$$
or
$$v - 305300000000000 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 305300000000000$$
We get the answer: v = 305300000000000
do backward replacement
$$1.00711922202441^{x} = v$$
or
$$x = 140.964195094444 \log{\left(v \right)}$$
The final answer
$$x_{1} = \frac{\log{\left(305300000000000 \right)}}{\log{\left(1.00711922202441 \right)}} = 4701.48238168438$$
$$e^{0.007094 x} = \frac{3053 \cdot 100000000000000}{1000}$$
or
$$e^{0.007094 x} + \frac{\left(-3053\right) 100000000000000}{1000} = 0$$
or
$$1.00711922202441^{x} = 305300000000000$$
or
$$1.00711922202441^{x} = 305300000000000$$
- this is the simplest exponential equation
Do replacement
$$v = 1.00711922202441^{x}$$
we get
$$v - 305300000000000 = 0$$
or
$$v - 305300000000000 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 305300000000000$$
We get the answer: v = 305300000000000
do backward replacement
$$1.00711922202441^{x} = v$$
or
$$x = 140.964195094444 \log{\left(v \right)}$$
The final answer
$$x_{1} = \frac{\log{\left(305300000000000 \right)}}{\log{\left(1.00711922202441 \right)}} = 4701.48238168438$$