Answer :
To solve the equation 2^(9-3x) = 8, we can rewrite 8 as a power of 2.
Since 8 is equal to 2^3, we can rewrite the equation as:
2^(9-3x) = 2^3
Now, we can set the exponents equal to each other:
9 - 3x = 3
Next, we can solve for x by isolating the variable:
-3x = 3 - 9
-3x = -6
Finally, divide both sides of the equation by -3 to solve for x:
x = -6 / -3
x = 2
Therefore, the solution to the equation 2^(9-3x) = 8 is x = 2.
b) x = 3
c) x = 4
d) x = 5
Since 8 is equal to 2^3, we can rewrite the equation as:
2^(9-3x) = 2^3
Now, we can set the exponents equal to each other:
9 - 3x = 3
Next, we can solve for x by isolating the variable:
-3x = 3 - 9
-3x = -6
Finally, divide both sides of the equation by -3 to solve for x:
x = -6 / -3
x = 2
Therefore, the solution to the equation 2^(9-3x) = 8 is x = 2.
b) x = 3
c) x = 4
d) x = 5
