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If log 2 + log (3x + 1) = log (2x - 9) + 2, then what is the value of x?

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If log 2 + log (3x + 1) = log (2x - 9) + 2,
then what is the value of x?
Note : Assume all log represented above is to the base of 10.

posted Sep 19, 2019 by Mridul

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1 Answer

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log 2 + log (3x + 1) = log (2x - 9) + 2
log (6x + 2) = log (2x - 9) + log (100)
log (6x + 2) = log (200x - 900)
6x + 2 = 200x - 900
x = 4.6495.

answer Sep 19, 2019 by Tejas Naik
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