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  • 18-07-2016
  • Mathematics
Answered

Which of the following is equivalent to log816? (Little 8)

A2
B1.248
C4/3
D3/4

Verified Answer :

dalendrk
dalendrk dalendrk
  • 18-07-2016

\(\log_ab=c\iff a^c=b\\\\\log_816=x\iff8^x=16\\\\8=2^3;\ 16=2^4\\\\therefore\\\\8^x=16\to(2^3)^x=2^4\\\\2^{3x}=2^4\iff3x=4\ \ \ |divide\ both\ sides\ by\ 3\\\\\boxed{x=\dfrac{4}{3}}\to\fbox{C.}\)

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