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log_(2)8=

log28= \log _{2} 8=

Full solution

Q. log28= \log _{2} 8=
  1. Problem statement: We are asked to find the value of log28\log_{2}8. This means we want to find the exponent that 22 must be raised to in order to get 88.
  2. Finding the base: We know that 22 raised to the power of 33 is 88, because 2×2×2=82 \times 2 \times 2 = 8.
  3. Calculating the exponent: Therefore, log28\log_{2}8 is equal to 33, since 23=82^{3} = 8.