if 3=log2x+4log8 find x
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Answer:
125 / 1024
Step-by-step explanation:
Given :
log 2 x + 4 log 8 = 3
⇒ log 2 x + log 8⁴ = 3
⇒ log ( 2 x × 8⁴ ) = 3
⇒ 10³ = 2 x × 8⁴
⇒ 2 x = 1000 / 8⁴
⇒ x = 500 / 8⁴
⇒ x = 125 / 1024
Therefore , the value of x is 125 / 1024 .
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