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Jika 4 x 3 ⋅ x 5 ⋅ 3 x = 3 x 2 c ⋅ x 3 c ⋅ 4 x c dengan x > 0 dan x  = 1 , maka c = ....

Jika $4 x^{3} \cdot x^{5} \cdot 3 x = 3 x^{2 c} \cdot x^{3 c} \cdot 4 x^{c}$ dengan $x > 0$ dan $x \neq = 1,$ maka $c =$ ....

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$begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell fourth root of x cubed times square root of x to the power of 5 times cube root of x end root end root end cell equals cell cube root of x to the power of 2 c end exponent times square root of x to the power of 3 c end exponent times fourth root of x to the power of c end root end root end root end cell row cell fourth root of x cubed times square root of x to the power of 5 times x to the power of 1 third end exponent end root end root end cell equals cell cube root of x to the power of 2 c end exponent times square root of x to the power of 3 c end exponent times x to the power of c over 4 end exponent end root end root end cell row cell fourth root of x cubed times square root of x to the power of 5 plus 1 third end exponent end root end root end cell equals cell cube root of x to the power of 2 c end exponent times square root of x to the power of 3 c plus c over 4 end exponent end root end root end cell row cell fourth root of x cubed times square root of x to the power of 16 over 3 end exponent end root end root end cell equals cell cube root of x to the power of 2 c end exponent times square root of x to the power of fraction numerator 13 c over denominator 4 end fraction end exponent end root end root end cell row cell fourth root of x cubed times x to the power of fraction numerator 16 over 3 over denominator 2 end fraction end exponent end root end cell equals cell cube root of x to the power of 2 c end exponent times x to the power of fraction numerator fraction numerator 13 c over denominator 4 end fraction over denominator 2 end fraction end exponent end root end cell row cell fourth root of x cubed times x to the power of 16 over 3 times 1 half end exponent end root end cell equals cell cube root of x to the power of 2 c end exponent times x to the power of fraction numerator 13 c over denominator 4 end fraction times 1 half end exponent end root end cell row cell fourth root of x cubed times x to the power of 8 over 3 end exponent end root end cell equals cell cube root of x to the power of 2 c end exponent times x to the power of fraction numerator 13 c over denominator 8 end fraction end exponent end root end cell row cell fourth root of x to the power of 3 plus 8 over 3 end exponent end root end cell equals cell cube root of x to the power of 2 c plus fraction numerator 13 c over denominator 8 end fraction end exponent end root end cell row cell fourth root of x to the power of 17 over 3 end exponent end root end cell equals cell cube root of x to the power of fraction numerator 29 c over denominator 8 end fraction end exponent end root end cell row cell x to the power of fraction numerator 17 over 3 over denominator 4 end fraction end exponent end cell equals cell x to the power of fraction numerator fraction numerator 29 c over denominator 8 end fraction over denominator 3 end fraction end exponent end cell row cell x to the power of 17 over 3 times 1 fourth end exponent end cell equals cell x to the power of fraction numerator 29 c over denominator 8 end fraction times 1 third end exponent end cell row cell x to the power of 17 over 12 end exponent end cell equals cell x to the power of fraction numerator 29 c over denominator 24 end fraction end exponent end cell row cell 17 over 12 end cell equals cell fraction numerator 29 c over denominator 24 end fraction end cell row c equals cell 17 over 12 times 24 over 29 end cell row c equals cell 34 over 29 end cell end table end style$