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log_(4)x+4log_(x)64=8

log⁡4x+4log⁡x64=8 \log _{4} x+4 \log _{x} 64=8

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Full solution

Q. log⁡4x+4log⁡x64=8 \log _{4} x+4 \log _{x} 64=8
  1. Identify Properties: Identify properties of logarithms to simplify the equation.\newlineUse the power property of logarithms to bring down the exponent in the second term.\newline4log⁡x64=log⁡x6444\log_{x}64 = \log_{x}64^4
  2. Use Power Property: Simplify the second term using the power property. log⁡x644=log⁡x256\log_{x}64^{4} = \log_{x}256

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