Precalculus Examples

Find the x and y Intercepts y = log base 7 of x
Step 1
Find the x-intercepts.
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Step 1.1
To find the x-intercept(s), substitute in for and solve for .
Step 1.2
Solve the equation.
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Step 1.2.1
Rewrite the equation as .
Step 1.2.2
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 1.2.3
Solve for .
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Step 1.2.3.1
Rewrite the equation as .
Step 1.2.3.2
Anything raised to is .
Step 1.3
x-intercept(s) in point form.
x-intercept(s):
x-intercept(s):
Step 2
Find the y-intercepts.
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Step 2.1
To find the y-intercept(s), substitute in for and solve for .
Step 2.2
Solve the equation.
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Step 2.2.1
The logarithm of zero is undefined.
Step 2.2.2
Remove parentheses.
Step 2.2.3
The equation cannot be solved because it is undefined.
Step 2.3
To find the y-intercept(s), substitute in for and solve for .
y-intercept(s):
y-intercept(s):
Step 3
List the intersections.
x-intercept(s):
y-intercept(s):
Step 4