Matematika

Pertanyaan

hitunglah x jika :

a. ²log ²log x = 2
b. pangkat 9 log (³log x ) = 0
c. ³log [³log(³log x )] = 1
d. pangkat x log (1-³log 1/27) = 2

tolong dijawab dengan benar menggunakan jalan carinya , mau menerima jawaban gambar atau foto , soal ini tentang fungsi logaritma

1 Jawaban


  • [tex]^2log ^2log x = 2 \\ ^2log ^2log x = ^2log {2}^{2} \\^2log x = 4 \\ ^2log x = ^2log {2}^{4} \\ x = {2}^{4} \\ x = 16 \\ \\
    ^9log (^3log x ) = 0 \\ ^9log (^3log x ) =^9log1 \\ ^3log x = 1 \\ x= {3}^{1} = 3 \\ \\
    ^3log [^3log(^3log x )] = 1 \\^3log [^3log(^3log x )] = ^3log3 \\ ^3log(^3log x ) = 3 \\ ^3log(^3log x ) =^3log {3}^{3} \\ ^3log x = 27 \\ x = {3}^{27} \\ \\
    ^xlog (1-^3log \frac{1}{27}) = 2 \\ ^xlog (1-^3log \frac{1}{27}) =^xlog {x}^{2} \\ 1-^3log \frac{1}{27} = {x}^{2} \\ -^3log \frac{1}{27} = {x}^{2} - 1 \\ - ^3log {3}^{ - 3} = {x}^{2} - 1 \\ 3 = {x}^{2} - 1 \\ {x }^{2} - 4 = 0 \\ (x - 2)(x + 2) = 0 \\ x = 2 \: atau \: x = - 2[/tex]

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