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Jika x, y dan z memenuhi persamaan 3 x ⋅ 49 ⋅ 4 z = ( 81 ⋅ y 4 ⋅ 16 ) 2 1 ​ maka nilai dari z xy adalah ….

Jika x, y dan z memenuhi persamaan  maka nilai dari  adalah ….

  1. 1

  2. 2

  3. 7

  4. 14

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S. Nur

Master Teacher

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Pembahasan

Diperoleh: Sehingga .

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 49 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 4 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight z end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 81 times straight y to the power of 4 times 16 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of 1 half end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank blank row blank blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 7 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 2 squared right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight z end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell left parenthesis 3 to the power of 4 times straight y to the power of 4 times 2 to the power of 4 right parenthesis end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of 1 half end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank blank row blank blank blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of straight x end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 7 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank to the power of 2 straight z end exponent end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank equals blank end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 3 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank straight y end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank times end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank 2 end table table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell blank squared end cell end table end style  

Diperoleh:

begin mathsize 14px style 3 to the power of straight x equals 3 squared rightwards arrow straight x equals 2 7 squared equals straight y squared rightwards arrow straight y equals 7 2 to the power of 2 straight z end exponent equals 2 rightwards arrow 2 straight z equals 2 rightwards arrow blank straight z blank equals 1 end style 

Sehingga

begin mathsize 14px style straight z to the power of xy equals 1 to the power of 2 times 7 end exponent equals 1 to the power of 14 equals 1 end style. 

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