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Solve 2^(2b-3) = 32
equations

Solve 22b3 32 Equations class=

Sagot :

Heatheridn

Answer: C. 4

Step-by-step explanation:

     We will solve the given equation for b. When an exponential equation has the same base on each side, the exponents must be equal. This allows us to solve 2b-3=5.

Given:

   [tex]2^{2b-3}=32[/tex]

Rewrite 32 with a base of 2:

   [tex]2^{2b-3}=2^5[/tex]

Create an equation based on the exponents:

   2b - 3 = 5

Add 3 to both sides of the equation:

   2b = 8

Divide both sides of the equation by 2:

   b = 4

     Our answer is C. 4.

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