SOLUTION: solve for x in y=3^2x-1
Algebra.Com
Question 702045: solve for x in y=3^2x-1
Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
solve for x in y=3^(2x-1)
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Take the log of both sides:
(2x-1)*log(3) = log(y)
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2x-1 = log3(y)
2x = log3(y)+1
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x = (1/2)[log3(y)+1]
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Cheers,
Stan H.
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Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
Take the base 3 log of both sides:
\ =\ \log_3\left(3^{2x\,-\,1}\right))
Apply \ =\ n\,\log_b(x))
\ =\ \left(2x\,-\,1\right)\log_3(3))
Note: \ =\ 1)
)
The rest is just straight algebra:
\ +\ 1\right))
John
Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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