# Graph f(x) = log base 5 of 4x+1

Graph f(x) = log base 5 of 4x+1
Find the asymptotes.
Set the argument of the logarithm equal to zero.
Solve for .
Subtract from both sides of the equation.
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Move the negative in front of the fraction.
The vertical asymptote occurs at .
Vertical Asymptote:
Vertical Asymptote:
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
Logarithm base of is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
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.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Multiply by .
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 one billion six hundred forty-six million nine hundred ninety-two thousand six hundred three

### Interesting facts

• 1646992603 has 4 divisors, whose sum is 1647326808
• The reverse of 1646992603 is 3062996461
• Previous prime number is 5003

### Basic properties

• Is Prime? no
• Number parity odd
• Number length 10
• Sum of Digits 46
• Digital Root 1

### Name

Name four hundred twenty-seven million nine hundred twenty-seven thousand six hundred sixty

### Interesting facts

• 427927660 has 64 divisors, whose sum is 1201404960
• The reverse of 427927660 is 066729724
• Previous prime number is 67

### Basic properties

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

### Name

Name two billion one million four hundred forty-three thousand six hundred forty-four

### Interesting facts

• 2001443644 has 16 divisors, whose sum is 4504711968
• The reverse of 2001443644 is 4463441002
• Previous prime number is 3137

### Basic properties

• Is Prime? no
• Number parity even
• Number length 10
• Sum of Digits 28
• Digital Root 1