5^(2x-1)+5^(x+1)=250
how do you solve?
thank you

x = 2

Step-by-step explanation:

Exponential Equations

Solve:

Separate each exponential:

Operating:

Multiplying by 5:

Rearranging:

Recall that:

Calling

Factoring:

There are two possible solutions:

y=25

y=-50

Since

y cannot be negative, thus:

The solution is:

x = 2

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