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Find equivalent expressions and functions

 

30(1.05^x)             30(1.05^1/7)^7x                30(1.05^x/2)^2

 

How the f do i simplify this and find which ones are equivalent...

 Jan 24, 2016
 #1
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30(1.05^x)                =30 X 1.05^x

30(1.05^1/7)^7x       =30 e^(0.0487902 x)

30(1.05^x/2)^2         =(15 e^(0.0975803 x)) / 2

None of the are equivalent.                         

 Jan 24, 2016
 #2
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30(1.05^1/7)^7x  = 30 * 1.05^(1/7 * 7x) = 30( 1.05^x)

30 (1.05^x/2)^2 = 30 (1.05^(x/2 * 2) = 30 (1.05^x)

 

So they are ALL the same.....

 Jan 24, 2016

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