To solve this equation, we can combine the terms on the left side of the equation by adding the exponents of the common base (0.5).
0.5^(x+7) 0.5^(1-2x) = 0.5^(x+7+1-2x)0.5^(x+7) 0.5^(1-2x) = 0.5^(8-x)
Now, the equation becomes:
0.5^(8-x) = 2
To solve for x, we can rewrite 2 as a power of 0.5:
0.5^(8-x) = 0.5^-1
Now we can set the exponents equal to each other:
8-x = -1
Solving for x:
8 + 1 = x9 = x
Therefore, the solution to the equation is x = 9.
To solve this equation, we can combine the terms on the left side of the equation by adding the exponents of the common base (0.5).
0.5^(x+7) 0.5^(1-2x) = 0.5^(x+7+1-2x)
0.5^(x+7) 0.5^(1-2x) = 0.5^(8-x)
Now, the equation becomes:
0.5^(8-x) = 2
To solve for x, we can rewrite 2 as a power of 0.5:
0.5^(8-x) = 0.5^-1
Now we can set the exponents equal to each other:
8-x = -1
Solving for x:
8 + 1 = x
9 = x
Therefore, the solution to the equation is x = 9.