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Solve the equation 5^(2x)+24.5^(x)-25=0 ...

Solve the equation `5^(2x)+24.5^(x)-25=0` .

Text Solution

Verified by Experts

Let `5^(x)=t` then the given equation can reduce in the form
`t^(2)-24t-25=0`
`rarr(t-25)(t_1)=0impliest!=-1`
`:.t=25`
then `5^(x)=25=5^(2)` then `x=2`
Hence `x_(1)=2` is only one root of the original equation.
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