Finite Math Examples

Solve for x e^(x+2)=30^x
Step 1
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 2
Expand the left side.
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Step 2.1
Expand by moving outside the logarithm.
Step 2.2
The natural logarithm of is .
Step 2.3
Multiply by .
Step 3
Expand by moving outside the logarithm.
Step 4
Subtract from both sides of the equation.
Step 5
Subtract from both sides of the equation.
Step 6
Factor the left side of the equation.
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Step 6.1
Factor out of .
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Step 6.1.1
Raise to the power of .
Step 6.1.2
Factor out of .
Step 6.1.3
Factor out of .
Step 6.1.4
Factor out of .
Step 6.2
Rewrite as .
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
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.
Step 8
The result can be shown in multiple forms.
Exact Form:
Decimal Form: