64^x = 1/2
To solve for x, we need to rewrite the left side of the equation in a way that makes it easier to solve. We can rewrite 64 as 2^6 since 2^6 = 64.
Therefore, our equation becomes:
(2^6)^x = 1/22^(6x) = 1/2
Now, we can rewrite 1/2 as 2^(-1) because 2^(-1) is the same as 1/2.
This gives us:
2^(6x) = 2^(-1)
Now we can set the exponents equal to each other:
6x = -1
Now, solve for x:
x = -1/6
Therefore, x = -1/6.
64^x = 1/2
To solve for x, we need to rewrite the left side of the equation in a way that makes it easier to solve. We can rewrite 64 as 2^6 since 2^6 = 64.
Therefore, our equation becomes:
(2^6)^x = 1/2
2^(6x) = 1/2
Now, we can rewrite 1/2 as 2^(-1) because 2^(-1) is the same as 1/2.
This gives us:
2^(6x) = 2^(-1)
Now we can set the exponents equal to each other:
6x = -1
Now, solve for x:
x = -1/6
Therefore, x = -1/6.