Pertanyaan

Nilai x yang memenuhi x l o g 2 x 2 x l o g 4 x < 2 1 a d a l ah ...

Nilai x yang memenuhi $\frac{2 x ^{l o g 4 x}}{x ^{l o g 2 x}} < \frac{1}{2} a d a l ah ...$

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Jawaban terverifikasi

Pembahasan

$fraction numerator 2 x to the power of log space 4 x end exponent over denominator x to the power of log space 2 x end exponent end fraction less than 1 half 2 x to the power of log space 4 x minus log space 2 x end exponent less than 1 half 4 x to the power of log space fraction numerator 4 x over denominator 2 x end fraction end exponent less than 1 x to the power of log space 2 end exponent less than 1 fourth log presubscript space presuperscript 2 space x to the power of log space 2 end exponent less than log presubscript space presuperscript 2 space 1 fourth log space 2. log presubscript space presuperscript 2 space x less than log presubscript space presuperscript 2 space 2 to the power of negative 2 end exponent log space x less than negative 2 x less than 10 to the power of negative 2 end exponent x less than 1 over 100 Karena space x space adalah space numerus space pada logaritma space maka space berlaku space syarat space x greater than 0 comma sehingga space apabila space diiriskan space didapat 0 less than x less than 1 over 100.$