Find the value of b in the equation 2^b^2+2 = 64

Published on November 9, 2024

Algebra

The solution for b in the equation 2^(b^2+2) = 64 is b = 2.

Question

Answer

The problem is to solve for

in the equation

We know that

. Therefore, we can rewrite the equation as:

Since the bases are the same, the exponents must be equal:

Subtract 2 from both sides:

Taking the square root of both sides:

Since the options only include positive numbers, the answer is

Final Answer: The final answer is

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