Basic Math Examples

Solve for N N=( natural log of 200÷(200-(6000*0.18)÷12))/( natural log of 1+0.18÷12)
Step 1
Reduce the expression by cancelling the common factors.
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Step 1.1
Cancel the common factor of and .
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Step 1.1.1
Factor out of .
Step 1.1.2
Cancel the common factors.
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Step 1.1.2.1
Factor out of .
Step 1.1.2.2
Cancel the common factor.
Step 1.1.2.3
Rewrite the expression.
Step 1.1.2.4
Divide by .
Step 1.2
Cancel the common factor of and .
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Step 1.2.1
Reorder terms.
Step 1.2.2
Factor out of .
Step 1.2.3
Cancel the common factors.
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Step 1.2.3.1
Factor out of .
Step 1.2.3.2
Factor out of .
Step 1.2.3.3
Factor out of .
Step 1.2.3.4
Cancel the common factor.
Step 1.2.3.5
Rewrite the expression.
Step 2
Simplify the denominator.
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Step 2.1
Multiply .
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Step 2.1.1
Multiply by .
Step 2.1.2
Multiply by .
Step 2.2
Add and .
Step 3
Cancel the common factor of and .
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Step 3.1
Factor out of .
Step 3.2
Cancel the common factors.
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Step 3.2.1
Factor out of .
Step 3.2.2
Cancel the common factor.
Step 3.2.3
Rewrite the expression.
Step 4
Simplify the denominator.
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Step 4.1
Divide by .
Step 4.2
Add and .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: