Question

tentukan nilai x yang memenuhi persamaan dari 2log2log x-2log 2log 16=2

Answer 1

$2 * Log\ 2 * Log\ x - 2 * Log\ 2 * Log\ 16 = 2 \\ \\ Log\ 2 * [\ Log\ x - Log\ 16] = 1,\ \ \ \ cancelling\ 2\ on\ both\ sides \\ \\ Log\ 2 * [ Log \frac{x}{16}] = 1 \\ \\ Log \frac{x}{16} = \frac{1}{Log\ 2} \\ \\ Log\ \frac{x}{16} =\ 1/Log_{10}\ \ 2 = 3.3219 \\ \\ \frac{x}{16} = 10^{3.3219} \\ \\ x = 16 * 2098.592 = 33,577.478$