5^(2x-1)+5^(x+1)=250
how do you solve?
thank you
1 answer:
Answer:
<em>x = 2</em>
Step-by-step explanation:
<u>Exponential Equations</u>
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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