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12 votes
12 votes
16^3x+8^x+6

Could you please give me the steps as well for this problem? ​

16^3x+8^x+6 Could you please give me the steps as well for this problem? ​-example-1
User Oscar Robinson
by
3.0k points

1 Answer

19 votes
19 votes

Answer:

x = 2

Explanation:


16^(3x) = 8^(x+6) \\2^(4(3x)) = 2^(3(x+6)) --> (16 =
2^(4) and 8 =
2^(3) )


2^(12x) = 2^(3x+18)

Since the base number is 2, the exponents must equal each other.

So:

12x = 3x+18

9x = 18

x = 2

User Clint Miller
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3.0k points