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solve the equations for x by first rewriting both sides as powers of the same base. 2^(9-3x)=8

Sagot :

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
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