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log_(2)4=

log⁡24= \log _{2} 4=

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Q. log⁡24= \log _{2} 4=
  1. Identify variables: Identify bb, xx, and yy.\newlineCompare log⁡24\log_{2}4 with log⁡bx=y\log_{b}x = y.\newlineb=2b = 2\newlinex=4x = 4\newliney=?y = ?
  2. Determine value of yy: Determine the value of yy that makes the equation true.\newlineSince 22=42^2 = 4, yy must be 22.\newlineTherefore, log⁡24=2\log_{2}4 = 2.
  3. Convert to exponential form: Convert the logarithmic equation to exponential form.\newlineSubstitute b=2b=2, x=4x=4, and y=2y=2 in by=xb^y = x.\newlineExponential equation: 22=42^2 = 4.

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