8) solve 4^(x - 2)= 8^6

a)5

b)8

c)10

d)11

For this case we have the following equation:

We must create equivalent expressions in the equation, so that they have equal bases:

If the bases are the same, then the two expressions are only equal if the exponents are equal:

Option D

OPTION D

Step-by-step explanation:

You need to remember the following:

 Then, you must descompose 4 and 8 into their prime factors:

Rewriting the expression:

Now you get:

Finally, you must solve for the variable "x".

Therefore, you get the following result:

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