Graph f(x)=3 log of x

Graph f(x)=3 log of x
Find the asymptotes.
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Set the argument of the logarithm equal to zero.
Solve for .
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Take the cube root of both sides of the equation to eliminate the exponent on the left side.
Simplify .
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Rewrite as .
Pull terms out from under the radical, assuming real numbers.
The vertical asymptote occurs at .
Vertical Asymptote:
Vertical Asymptote:
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Logarithm base of is .
Multiply by .
The final answer is .
Convert to decimal.
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Logarithm base of is .
Multiply by .
The final answer is .
Convert to decimal.
Find the point at .
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Replace the variable with in the expression.
Simplify the result.
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Simplify by moving inside the logarithm.
Raise to the power of .
The final answer is .
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 three hundred seventy-two million seven hundred thirty-two thousand six hundred fifty-one

Interesting facts

  • 1372732651 has 8 divisors, whose sum is 1388076704
  • The reverse of 1372732651 is 1562372731
  • Previous prime number is 1303

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 10
  • Sum of Digits 37
  • Digital Root 1

Name

Name six hundred sixty-nine million six hundred seventy-three thousand five hundred twenty-three

Interesting facts

  • 669673523 has 8 divisors, whose sum is 673969968
  • The reverse of 669673523 is 325376966
  • Previous prime number is 1097

Basic properties

  • Is Prime? no
  • Number parity odd
  • Number length 9
  • Sum of Digits 47
  • Digital Root 2

Name

Name one hundred sixty-five million six hundred eighty-two thousand four hundred twenty

Interesting facts

  • 165682420 has 32 divisors, whose sum is 451777176
  • The reverse of 165682420 is 024286561
  • Previous prime number is 101

Basic properties

  • Is Prime? no
  • Number parity even
  • Number length 9
  • Sum of Digits 34
  • Digital Root 7