What is the answer to m^2e^{mx}-5me^{mx}+6e^{mx}=0 ?

The answer to m^2e^{mx}-5me^{mx}+6e^{mx}=0 is No Solution for x\in\mathbb{R}

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m^2e^{mx}-5me^{mx}+6e^{mx}=0

m^{2} e^{m x} - 5 m e^{m x} + 6 e^{m x} = 0

No Solution for x \in R

Solution steps

m^{2} e^{m x} - 5 m e^{m x} + 6 e^{m x} = 0

Factor

m^{2} e^{m x} - 5 m e^{m x} + 6 e^{m x} : e^{m x} (m^{2} - 5 m + 6)

e^{m x} (m^{2} - 5 m + 6) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

e^{m x} = 0

a^{f (x)}

cannot be zero or negative for

x \in R

No Solution for x \in R

lo g_{3} (x^{l o g_{3} (x)}) = 4

1050 = 480 e^{7 r}

5^{x} + 5^{x + 1} - \frac{6}{25} = 0

2^{x + 1} + 2^{x} + 2^{x - 1} = 14

7^{x} = 4

What is the answer to m^2e^{mx}-5me^{mx}+6e^{mx}=0 ?
The answer to m^2e^{mx}-5me^{mx}+6e^{mx}=0 is No Solution for x\in\mathbb{R}