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Solve for x given that 125^(x/2)=5
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if the question is 125^(x/2)=5, then the question is the same as the square root of 125^x=5. then you would square both sides which makes it 125^x=5^2. make the base equal the same, so that would make it 5^(3x)=5^2 so 3x=2 and x would be (2/3)
Posted by bluejay123 on September 5, 2011 at 7:29 AM (Answer #1)
We have to solve for x given that 125^(x/2)=5
express 125^(x/2) as a power of 5
use the property x^a^b = x^(a*b)
As this is equal to 5 or 5^1, we can equate 1 and 3x/2
=> 3x/2 = 1
=> x = 2/3
The required value of x = 2/3
Posted by justaguide on September 5, 2011 at 12:31 PM (Answer #2)
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