Rewrite as an equation.

Rewrite <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mn>6</mn></mrow></msub><mrow><mo>(</mo><mn>216</mn><mo>)</mo></mrow><mo>=</mo><mi>x</mi></mstyle></math> in exponential form using the definition of a logarithm. If <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> and <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> are positive real numbers and <math><mstyle displaystyle="true"><mi>b</mi></mstyle></math> does not equal <math><mstyle displaystyle="true"><mn>1</mn></mstyle></math> , then <math><mstyle displaystyle="true"><msub><mi>log</mi><mrow><mi>b</mi></mrow></msub><mrow><mo>(</mo><mi>x</mi><mo>)</mo></mrow><mo>=</mo><mi>y</mi></mstyle></math> is equivalent to <math><mstyle displaystyle="true"><msup><mrow><mi>b</mi></mrow><mrow><mi>y</mi></mrow></msup><mo>=</mo><mi>x</mi></mstyle></math> .

Create equivalent expressions in the equation that all have equal bases.

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

The variable <math><mstyle displaystyle="true"><mi>x</mi></mstyle></math> is equal to <math><mstyle displaystyle="true"><mn>3</mn></mstyle></math> .

Do you know how to Evaluate log base 6 of 216? 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 | one billion three hundred eighteen million one hundred nine thousand three hundred sixteen |
---|

- 1318109316 has 32 divisors, whose sum is
**4008499488** - The reverse of 1318109316 is
**6139018131** - Previous prime number is
**73**

- Is Prime? no
- Number parity even
- Number length 10
- Sum of Digits 33
- Digital Root 6

Name | three hundred thirty-two million five hundred eleven thousand five hundred seven |
---|

- 332511507 has 4 divisors, whose sum is
**344826776** - The reverse of 332511507 is
**705115233** - Previous prime number is
**27**

- Is Prime? no
- Number parity odd
- Number length 9
- Sum of Digits 27
- Digital Root 9

Name | eight hundred sixty-six million seven hundred sixty-four thousand one hundred thirty-two |
---|

- 866764132 has 16 divisors, whose sum is
**2100236292** - The reverse of 866764132 is
**231467668** - Previous prime number is
**13**

- Is Prime? no
- Number parity even
- Number length 9
- Sum of Digits 43
- Digital Root 7