SOLUTION: Solve the exponential equations algebraically. show steps 3^x=2^(x-1) \

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Question 690227: Solve the exponential equations algebraically. show steps

3^x=2^(x-1)
\
Found 2 solutions by solver91311, ReadingBoosters:
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


There are a number of ways to go about this one, but this way is rather tidy. Use your built-in Windows or Mac scientific calculator if you need a numeric approximation.





because





John

Egw to Beta kai to Sigma
My calculator said it, I believe it, that settles it
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Answer by ReadingBoosters(3246) About Me  (Show Source):
You can put this solution on YOUR website!
Use natural log
ln%283%5Ex%29=ln%282%5E%28x-1%29%29
...
x%2Aln%283%29+=+%28x-1%29ln%282%29==> distribute the ln(2) on the right
...
x%2Aln%283%29+=+x%2Aln%282%29+-+ln%282%29
...
x%2Aln%283%29+-+x%2Aln%282%29+=+-ln%282%29 ==> factor out the x
...
x%28ln%283%29-ln%282%29%29=-ln%282%29
...
x = %28-ln%282%29%29%2F%28ln%283%29-ln%282%29%29
x = -1.709511291
…………………………….
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