Pertanyaan

Jika diketahui x l o g ( 3 x − 1 ) ( 5 l o g a ) = 3 , maka x adalah .....

Jika diketahui $^{x} l o g (3 x - 1) (^{5} l o g a) = 3$ , maka x adalah .....

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Jawaban terverifikasi

Pembahasan

$blank to the power of x l o g left parenthesis 3 x minus 1 right parenthesis left parenthesis to the power of 5 l o g a right parenthesis equals 3 fraction numerator log left parenthesis 3 x minus 1 right parenthesis over denominator log space a end fraction fraction numerator log a over denominator log b end fraction equals 3 fraction numerator log left parenthesis 3 x minus 1 right parenthesis over denominator log 5 end fraction equals 3 log left parenthesis 3 x space minus 1 right parenthesis space equals space 3 log 5 log left parenthesis space 3 x space minus 1 right parenthesis space equals space log space 5 cubed 3 x space minus 1 equals 125 3 x space equals space 126 x space equals space 24$