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Log base 12 (2x-+6) + log base 12 (x+2) =2

How is this solved

1 Answer

3 votes

Answer:


Explanation:

First step: Distribute the 12 to both parentheses, like so:

(12 x 2x) - (12 x 6) + (12 times x) + (12 x 2) = 2.

Second step: Multiply what's in the parentheses, like so:

(24x) - (72) + (12x) + (24) = 2.

Third Step: Combine like terms (terms that are alike), like so:

(24x + 12x) - (72 + 24) = 2.

Fourth Step: Add the like terms, like so:

36x - 96 = 2.

Fifth step: Add the negative 96 to both sides, like so:

36x - 96 = 2

+96 +96

---------------------

36x = 98.

Sixth step: Divide 36 on both sides, like so:

36x/36 = 98 / 36

1x = 2, or: x = 2


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