Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation sin(x)=4
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Equation 5^x=125
-
Equation (|x+4|)=5
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Equation 2*sin(x)=1
- Express {x} in terms of y where:
- 16*x-17*y=-15
- -4*x-4*y=19
- 15*x+1*y=19
- -5*x-2*y=9
- Derivative of:
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5^x
- Integral of d{x}:
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5^x
- Graphing y =:
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5^x
- Sum of series:
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125
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Identical expressions
- five ^x= one hundred and twenty-five
- 5 to the power of x equally 125
- five to the power of x equally one hundred and twenty minus five
- 5x=125
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Similar expressions
- x-340/10=12*5
5^x=125 equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation:
$$5^{x} = 125$$
or
$$5^{x} - 125 = 0$$
or
$$5^{x} = 125$$
or
$$5^{x} = 125$$
- this is the simplest exponential equation
Do replacement
$$v = 5^{x}$$
we get
$$v - 125 = 0$$
or
$$v - 125 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 125$$
We get the answer: v = 125
do backward replacement
$$5^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(5 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(125 \right)}}{\log{\left(5 \right)}} = 3$$
$$5^{x} = 125$$
or
$$5^{x} - 125 = 0$$
or
$$5^{x} = 125$$
or
$$5^{x} = 125$$
- this is the simplest exponential equation
Do replacement
$$v = 5^{x}$$
we get
$$v - 125 = 0$$
or
$$v - 125 = 0$$
Move free summands (without v)
from left part to right part, we given:
$$v = 125$$
We get the answer: v = 125
do backward replacement
$$5^{x} = v$$
or
$$x = \frac{\log{\left(v \right)}}{\log{\left(5 \right)}}$$
The final answer
$$x_{1} = \frac{\log{\left(125 \right)}}{\log{\left(5 \right)}} = 3$$
The graph