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8=2x8 = 2^x

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Q. 8=2x8 = 2^x
  1. Recognize Problem: Recognize that the problem is asking to solve for xx in the exponential equation 8=2x8 = 2^x.
  2. Recall Power of 22: Recall that 88 is a power of 22, specifically 232^3, since 2×2×2=82 \times 2 \times 2 = 8.
  3. Set Exponent Equal: Set the exponent of 22 that results in 88 equal to xx, which means 23=2x2^3 = 2^x.
  4. Solve for xx: Since the bases are the same (22), the exponents must be equal. Therefore, x=3x = 3.

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