Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^4-3x^2-4=0
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Equation 2^x=8
- Equation x^2-49=0
-
Equation x^3=64
- Express {x} in terms of y where:
- 18*x+19*y=7
- 20*x+9*y=17
- 11*x-11*y=-17
- -2*x-4*y=11
- Derivative of:
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2^x
- Integral of d{x}:
-
2^x
- Graphing y =:
- 2^x
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Identical expressions
- two ^x= eight
- 2 to the power of x equally 8
- two to the power of x equally eight
- 2x=8
2^x=8 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$2^{x} = 8$$
or
$$2^{x} - 8 = 0$$
or
$$2^{x} = 8$$
or
$$2^{x} = 8$$
- this is the simplest exponential equation
Do replacement
$$v = 2^{x}$$
we get
$$v - 8 = 0$$
or
$$v - 8 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 8$$
We get the answer: v = 8
do backward replacement
$$2^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(2 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(8 \right)}}{\log{\left(2 \right)}} = 3$$
$$2^{x} = 8$$
or
$$2^{x} - 8 = 0$$
or
$$2^{x} = 8$$
or
$$2^{x} = 8$$
- this is the simplest exponential equation
Do replacement
$$v = 2^{x}$$
we get
$$v - 8 = 0$$
or
$$v - 8 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 8$$
We get the answer: v = 8
do backward replacement
$$2^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(2 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(8 \right)}}{\log{\left(2 \right)}} = 3$$
The graph