# Graph y = log base 1/2 of x

Find the asymptotes.
Set the argument of the logarithm equal to zero.
The vertical asymptote occurs at .
Vertical Asymptote:
Vertical Asymptote:
Find the point at .
Replace the variable with in the expression.
Simplify the result.
Logarithm base of is .
The final answer is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
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 expressions in the equation that all have equal bases.
Rewrite as .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for .
The variable is equal to .
The final answer is .
Convert to decimal.
Find the point at .
Replace the variable with in the expression.
Simplify the result.
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 expressions in the equation that all have equal bases.
Rewrite as .
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for .
The variable is equal to .
The final answer is .
Convert to decimal.
The log function can be graphed using the vertical asymptote at and the points .
Vertical Asymptote:
Graph y = log base 1/2 of x

Scroll to top