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Science & Mathematics by Anonymous 2018-06-01 12:33:19
Social Science
If logx(1/64)=-1, then x is equal to?
4 answers
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Anonymous
log(base x)(1/64) = -1 x^-1 = 1/64 1/x =1/64 x = 64
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Anonymous
logₓ (1/64) = -1 ⇒ x⁻¹ = ¹⁄₆₄ ⇒ ¹⁄ₓ = ¹⁄₆₄ ⇒ x = 64....................ANS (Option A)
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Anonymous
Wait! 64^-1 = 1/64 ... that tells you the answer
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Anonymous
log[a](c) = b is the logarithmic form of a^b = c log[x](1/64) = -1 x^(-1) = 1/64 1/x = 1/64 Can you finish it up from there?