Evaluate log 512 to the base 2√2
btw make sure to show all the steps..
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Step-by-step explanation:
log 512 to the base 2√2
512 = 8×8×8
(2√2)^2 = 8
(2√2)^4 = 64
(2√2)^6 = 512
therefore 512 = (2√2)^6
log512 to the base 2√2 is equal to
log (2√2)^6 to the base 2√2 is equal to
6log 2√2 to the base 2√2
THEREFORE THE ANSWER IS 6
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