Finite Math Examples

Find the x and y Intercepts y=5 natural log 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
Divide each term in by and simplify.
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Step 1.2.2.1
Divide each term in by .
Step 1.2.2.2
Simplify the left side.
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Step 1.2.2.2.1
Cancel the common factor of .
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Step 1.2.2.2.1.1
Cancel the common factor.
Step 1.2.2.2.1.2
Divide by .
Step 1.2.2.3
Simplify the right side.
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Step 1.2.2.3.1
Divide by .
Step 1.2.3
To solve for , rewrite the equation using properties of logarithms.
Step 1.2.4
Rewrite in exponential form using the definition of a logarithm. If and are positive real numbers and , then is equivalent to .
Step 1.2.5
Solve for .
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Step 1.2.5.1
Rewrite the equation as .
Step 1.2.5.2
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 natural 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