SOLUTION: I need help with this logarithm problem please:
2^(3x)=4^(x-1)
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Question 192240: I need help with this logarithm problem please:
2^(3x)=4^(x-1)
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
That is a lovely little exponential equation that you have there, and quite solveable without reference to logarithms. Did you mention logarithms because you are supposed to use them in the solution process, or are you just confusing an exponential with a logarithm?
Since 
you can write:
^{x-1})
And use:
^n = a^{mn})
to write:
})
Since the bases are now equal, the exponents must also be equal, so:
)
and
Check the answer:
} =^? 4^{-2-1})
Answer checks.
John
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