Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation x^4=81
-
Equation 12/(x-15)=15/(x-12)
-
Equation ||x|-4|=5
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Equation 3^x=1
- Express {x} in terms of y where:
- -14*x+19*y=-3
- -12*x-13*y=-2
- -3*x-1*y=-9
- -4*x-12*y=13
- Derivative of:
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3^x
- Integral of d{x}:
-
3^x
- Graphing y =:
- 3^x
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Identical expressions
- three ^x= one
- 3 to the power of x equally 1
- three to the power of x equally one
- 3x=1
3^x=1 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$3^{x} = 1$$
or
$$3^{x} - 1 = 0$$
or
$$3^{x} = 1$$
or
$$3^{x} = 1$$
- this is the simplest exponential equation
Do replacement
$$v = 3^{x}$$
we get
$$v - 1 = 0$$
or
$$v - 1 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 1$$
We get the answer: v = 1
do backward replacement
$$3^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(3 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(1 \right)}}{\log{\left(3 \right)}} = 0$$
$$3^{x} = 1$$
or
$$3^{x} - 1 = 0$$
or
$$3^{x} = 1$$
or
$$3^{x} = 1$$
- this is the simplest exponential equation
Do replacement
$$v = 3^{x}$$
we get
$$v - 1 = 0$$
or
$$v - 1 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 1$$
We get the answer: v = 1
do backward replacement
$$3^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(3 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(1 \right)}}{\log{\left(3 \right)}} = 0$$
The graph