How do you solve # [(5^(2x+1)) - 2] * [(5^(x+1)) + 5] = 0#?
This equation has one solution
On left side there is a multiplication of 2 expressions, so it is zero, when any of those expressions is:
The second equation has no solutions, because exponential functions do not have negative values.
To solve the first equation we have to change 2 to a power of 5.
Now, when we have the same base on both sides we can skip it to get