Algebra Examples

Solve for n f(x)=7x^(-3n)+x^2
Step 1
Rewrite the equation as .
Step 2
Rewrite as exponentiation.
Step 3
Subtract from both sides of the equation.
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Move the negative in front of the fraction.
Step 5
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 6
Expand by moving outside the logarithm.
Step 7
Divide each term in by and simplify.
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Step 7.1
Divide each term in by .
Step 7.2
Simplify the left side.
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Step 7.2.1
Cancel the common factor of .
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Step 7.2.1.1
Cancel the common factor.
Step 7.2.1.2
Rewrite the expression.
Step 7.2.2
Cancel the common factor of .
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Step 7.2.2.1
Cancel the common factor.
Step 7.2.2.2
Divide by .
Step 7.3
Simplify the right side.
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Step 7.3.1
Move the negative in front of the fraction.