Respuesta :

wegnerkolmp2741o

Answer:

D x=1

Step-by-step explanation:

6^(3-x)=6^2

Since the bases are the same, the exponents have to be the same

3-x = 2

Subtract 3 from each side

3-x-3 = 2-3

-x = -1

Multiply each side by -1

x = 1

luisejr77

Answer: Option D

[tex]x=1[/tex]

Step-by-step explanation:

We have the following exponential equation

[tex]6^{3-x}=6^2[/tex]

We must solve the equation for the variable x

Note that the exponential expressions [tex]6^{3-x}[/tex] and [tex]6 ^ 2[/tex] have the same base: 6

So if [tex]6^{3-x}=6^2[/tex] this means that [tex]3-x = 2[/tex]

Then we have that:

[tex]3-x = 2[/tex]

[tex]x = 3-2\\x=1[/tex]

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