Question 918020: how to solve 4500 to the x power = 364,500? How do you solve when the power is unknown, Also I don't know how to type numbers to the power on my computer. Thanks!
Catherine
Found 2 solutions by josmiceli, josgarithmetic:
Answer by josmiceli(19441)   (Show Source):
Answer by josgarithmetic(39617)  (Show Source):
You can put this solution on YOUR website! You need to have some basic understanding of logarithms. Some problems could be handled simply through factorizations and simplifications. Can your example be solved this way?
This will not bring you easily to find x.
Use of logarithms and a calculator:
PURE TEXT, UNRENDERED,
log(10,(4.5*10^3)^x)=log(10,3.645*10^5)
x*log(10,4.5*10^3)=log(10,3.645)+log(10,10^5)
x(log(10,4.5)+log(10,10^3))=log(10,3.645)+5
x(log(10,4.5)+3)=log(10,3.645)+5
x=(log(10,3.645)+5)/(log(10,4.5)+3)
SAME THING, RENDERING TAGS ADDED:
To continue computing that,
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