SOLUTION: how do i solve 5^(x-1)=2(3^x)algebraically?

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Question 461708: how do i solve 5^(x-1)=2(3^x)algebraically?
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Take the log of both sides -- doesn't matter what base:





The log of the product is the sum of the logs:



Use



to write:



Distribute and collect like terms:



and finally, using "the sum of the logs is the log of the product"



You can also use "the difference of the logs is the log of the quotient" to further simplify(?):



Either way should be acceptable, but that will depend on your instructor.

John

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