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H im p u nan p e n ye l es aian d a r i 5 lo g ( x − 2 ) + 5 lo g ( 2 x + 1 ) = 2 a d a l ah ...

  1. begin mathsize 14px style open curly brackets negative 1 1 half comma space minus 3 close curly brackets end style

  2. begin mathsize 14px style open curly brackets negative 3 close curly brackets end style

  3. begin mathsize 14px style open curly brackets 4 1 half close curly brackets end style

  4. begin mathsize 14px style open curly brackets negative 1 1 half comma space 3 close curly brackets end style

  5. begin mathsize 14px style open curly brackets negative 3 comma space 4 1 half close curly brackets end style

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blank to the power of 5 log left parenthesis x minus 2 right parenthesis plus to the power of 5 log left parenthesis 2 x plus 1 right parenthesis equals 2 to the power of 5 log left parenthesis x minus 2 right parenthesis left parenthesis 2 x plus 1 right parenthesis equals 2. to the power of 5 log 5 to the power of 5 log left parenthesis 2 x squared plus x minus 4 x minus 2 right parenthesis equals to the power of 5 log 5 squared up diagonal strike blank to the power of 5 log end strike left parenthesis 2 x squared minus 3 x minus 2 right parenthesis equals up diagonal strike blank to the power of 5 log end strike space 25 2 x squared minus 3 x minus 2 equals 25 2 x squared minus 3 x minus 27 equals 0 left parenthesis 2 x minus 9 right parenthesis left parenthesis x plus 3 right parenthesis equals 0 x subscript 1 equals 9 over 2 equals 4 1 half space dan space x subscript 2 equals negative 3 syarat space colon space x minus 2 space greater than space 0 space left right arrow x greater than 2 dan space 2 x plus 1 greater than 0 space left right arrow x greater than negative 1 half space berdasarkan space syarat comma space maka space himpunan penyelesaiannya space hanya space satu comma space yaitu colon open curly brackets 4 1 half close curly brackets.

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