Pertanyaan

J ika f ( x ) = 5 3 x d an f ( x ) in v ers d a r i f ( x ) , maka ni l ai f − 1 ( 5 5 ) a d a l ah ...

$J ika f (x) = 5^{3 x} d an f (x) in v ers d a r i f (x), maka ni l ai f^{- 1} (55) a d a l ah ...$

8 dari 10 siswa nilainya naik

dengan paket belajar pilihan

Habis dalam

Klaim

D. Kamilia

Master Teacher

Mahasiswa/Alumni Universitas Negeri Malang

Jawaban terverifikasi

Pembahasan

$f left parenthesis x right parenthesis equals 5 to the power of 3 x end exponent f apostrophe left parenthesis x right parenthesis equals 5 to the power of 3 x end exponent y equals 5 to the power of 3 x end exponent log y equals log open parentheses 5 to the power of 3 x end exponent close parentheses log open parentheses y close parentheses equals 3 x log 5 3 x equals fraction numerator log y over denominator log 5 end fraction x equals fraction numerator fraction numerator log y over denominator log 5 end fraction over denominator 3 end fraction x equals fraction numerator log y over denominator 3 log 5 end fraction f left parenthesis x right parenthesis equals fraction numerator log x over denominator log 5 cubed end fraction equals log presuperscript 5 cubed end presuperscript x equals 1 third log presuperscript 5 x f left parenthesis 5 square root of 5 right parenthesis equals 1 third log presuperscript 5 5 square root of 5 space space space space space space space space space space space space space equals 1 third log presuperscript 5 5 to the power of 3 over 2 end exponent space space space space space space space space space space space space space equals open parentheses 1 third close parentheses open parentheses 3 over 2 close parentheses log presuperscript 5 5 space space space space space space space space space space space space space equals 3 over 6 space space space space space space space space space space space space space equals 1 half$