Expand <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><msup><mrow><mo>(</mo><mfrac><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>5</mn></mrow></msup></mrow><mrow><mi>y</mi></mrow></mfrac><mo>)</mo></mrow><mrow><mn>6</mn></mrow></msup><mo>)</mo></mrow></mstyle></math> by moving <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> outside the logarithm.

Rewrite <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><mfrac><mrow><msup><mrow><mi>x</mi></mrow><mrow><mn>5</mn></mrow></msup></mrow><mrow><mi>y</mi></mrow></mfrac><mo>)</mo></mrow></mstyle></math> as <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>5</mn></mrow></msup><mo>)</mo></mrow><mo>-</mo><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><mi>y</mi><mo>)</mo></mrow></mstyle></math> .

Expand <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><msup><mrow><mi>x</mi></mrow><mrow><mn>5</mn></mrow></msup><mo>)</mo></mrow></mstyle></math> by moving <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> outside the logarithm.

Apply the distributive property.

Multiply <math><mstyle displaystyle="true"><mn>5</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Multiply <math><mstyle displaystyle="true"><mo>-</mo><mn>1</mn></mstyle></math> by <math><mstyle displaystyle="true"><mn>6</mn></mstyle></math> .

Do you know how to Expand the Logarithmic Expression log base 6 of ((x^5)/y)^6? If not, you can write to our math experts in our application. The best solution for your task you can find above on this page.

Name | three hundred seventy-eight million eighty thousand six hundred fifty-two |
---|

- 378080652 has 64 divisors, whose sum is
**1172102400** - The reverse of 378080652 is
**256080873** - Previous prime number is
**167**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 39
- Digital Root 3

Name | seven hundred thirty-nine million seven hundred forty-one thousand four hundred seventy-two |
---|

- 739741472 has 256 divisors, whose sum is
**5697257472** - The reverse of 739741472 is
**274147937** - Previous prime number is
**191**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 44
- Digital Root 8

Name | eight hundred ninety-four million one hundred forty thousand |
---|

- 894140000 has 2048 divisors, whose sum is
**12609717120** - The reverse of 894140000 is
**000041498** - Previous prime number is
**5**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 26
- Digital Root 8