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log_(2)(x-8)=5

log⁡2(x−8)=5 \log _{2}(x-8)=5

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Find limits using power and root lawsright chevron icon

Full solution

Q. log⁡2(x−8)=5 \log _{2}(x-8)=5
  1. Rewrite in exponential form: Rewrite the logarithmic equation in exponential form: 25=x−82^5 = x - 8.\newlineCalculation: 25=322^5 = 32, so 32=x−832 = x - 8.
  2. Calculate x value: Add 88 to both sides to isolate xx: 32+8=x32 + 8 = x.\newlineCalculation: 32+8=4032 + 8 = 40, so x=40x = 40.

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