8^x+2=1 calculate
This equation cannot be solved as it is currently written.
There are a couple of reasons why.
Firstly, the variable "x" is in the exponent, which makes it tricky to isolate.
Secondly, raising any number (except 0) to a power will always give a positive result. In this case, we have 8 raised to a power "x+2", which means the result will always be greater than 1. However, the equation we are given says that this result is equal to 1, which is impossible.
Therefore, there are no solutions to this equation.
8^x + 2 = 1 indeed cannot be solved.
But, assuming the usual carelessness with parentheses,
8^(x+2) = 1
since 8^0 = 1, this means
x+2 = 0
x = -2
You are correct. If the equation is solved as 8^(x+2) = 1, then we can solve for x as follows:
8^(x+2) = 1
Since 8^0 = 1, we can say that:
8^(x+2) = 8^0
By equating the exponents, we get:
x+2 = 0
x = -2
Therefore, x = -2 is the solution to this equation. Thank you for pointing this out.
To solve the equation 8^x + 2 = 1, we can start by subtracting 2 from both sides to isolate the exponent term:
8^x + 2 - 2 = 1 - 2
8^x = -1
However, raising any number (including 8) to a real exponent will always give a positive result. Therefore, there is no solution to this equation.