# Graph y = log base 2 of x-2

Graph y = log base 2 of x-2
Find the asymptotes.
Set the argument of the logarithm equal to zero.
Add to both sides of the equation.
The vertical asymptote occurs at .
Vertical Asymptote:
Vertical Asymptote:
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Subtract from .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Subtract from .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Subtract from .
Logarithm base of is .
Rewrite as an equation.
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and does not equal , then is equivalent to .
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 is equal to .
Convert to decimal.
The log function can be graphed using the vertical asymptote at and the points .
Vertical Asymptote:
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### Name

Name six hundred forty-three million four hundred eighty-two thousand three hundred sixteen

### Interesting facts

• 643482316 has 16 divisors, whose sum is 1510784784
• The reverse of 643482316 is 613284346
• Previous prime number is 23

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 37
• Digital Root 1

### Name

Name six hundred twenty-nine million nine hundred eighty-two thousand five hundred seventy-eight

### Interesting facts

• 629982578 has 4 divisors, whose sum is 944973870
• The reverse of 629982578 is 875289926
• Previous prime number is 2

### Basic properties

• Is Prime? no
• Number parity even
• Number length 9
• Sum of Digits 56
• Digital Root 2

### Name

Name six hundred ninety-four million nine hundred fifty-nine thousand four hundred eighty-three

### Interesting facts

• 694959483 has 16 divisors, whose sum is 932065056
• The reverse of 694959483 is 384959496
• Previous prime number is 1193

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 9
• Sum of Digits 57
• Digital Root 3