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How do I solve this math problem?

Mathematics
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3^(2x)+35=12^(3x)

Apr 23rd, 2015

I am assuming the ^ means "to the power of"

3 ^ (2x) + 35 = 12 ^ (3x)

Take the log:

2x log (3) + log (35) = 3x log (12)

log (35) = 3x log (12) - 2x log (3)

1.5444 = 3x (1.079) - 2x (0.477)

1.5444 = 3.237x - 0.954x

1.5444 = 2.283x

1.5444/2.283 = x

x = 0.6764 or approx. 0.677 or 0.68 depending on how you round.

Apr 22nd, 2015

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