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Question

$\log a^{x} = 1, \log, y = 2, \log a^{z} = 3, \log a (\frac{x^{3} y^{2}}{z}) = ?$

1

4

2

5

ANSWER : 2

Descrption

<math xmlns = "http://www.w3.org/1998/Math/MathML"><msub><mi>log</mi><mi>a</mi></msub><mo>(</mo><mfrac><mrow><msup><mi>x</mi><mn>3</mn></msup><msup><mi>y</mi><mn>2</mn></msup></mrow><mi>z</mi></mfrac><mo>)</mo><mspace linebreak = "newline"/><mo> = </mo><msub><mi>log</mi><mi>a</mi></msub><mo>(</mo><msup><mi>x</mi><mn>3</mn></msup><msup><mi>y</mi><mn>2</mn></msup><mo>)</mo><mo> - </mo><msub><mi>log</mi><msup><mi>a</mi><mi>z</mi></msup></msub><mo>&#xA0;</mo><mo>&#xA0;</mo><mo>[</mo><mo>.</mo><mo>;</mo><mo>&#xA0;</mo><msub><mi>log</mi><mi>a</mi></msub><mfrac><mi>M</mi><mi>N</mi></mfrac><mo> = </mo><msub><mi>log</mi><mi>a</mi></msub><mi>M</mi><mo> - </mo><msub><mi>log</mi><mi>a</mi></msub><mi>N</mi><mo>]</mo><mspace linebreak = "newline"/><mo> = </mo><msub><mi>log</mi><mi>a</mi></msub><msup><mi>x</mi><mn>3</mn></msup><mo>&#xA0;</mo><mo>  +  </mo><mo>&#xA0;</mo><mi>log</mi><mi>a</mi><msup><mi>y</mi><mn>2</mn></msup><mo> - </mo><msub><mi>log</mi><msup><mi>a</mi><mi>Z</mi></msup></msub><mo>&#xA0;</mo><mo> = </mo><mn>3</mn><mo>&#xD7;</mo><mn>1</mn><mo>&#xA0;</mo><mo>  +  </mo><mn>2</mn><mo>&#xD7;</mo><mn>2</mn><mo>&#xA0;</mo><mo> - </mo><mn>3</mn><mo>&#xA0;</mo><mspace linebreak = "newline"/><mo> = </mo><mn>4</mn></math>

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