Finite Math Examples

Solve for x 7^-3=49^(x+3)
Step 1
Rewrite the equation as .
Step 2
Create equivalent expressions in the equation that all have equal bases.
Step 3
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 4
Solve for .
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Step 4.1
Divide each term in by and simplify.
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Step 4.1.1
Divide each term in by .
Step 4.1.2
Simplify the left side.
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Step 4.1.2.1
Cancel the common factor of .
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Step 4.1.2.1.1
Cancel the common factor.
Step 4.1.2.1.2
Divide by .
Step 4.1.3
Simplify the right side.
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Step 4.1.3.1
Move the negative in front of the fraction.
Step 4.2
Move all terms not containing to the right side of the equation.
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Step 4.2.1
Subtract from both sides of the equation.
Step 4.2.2
To write as a fraction with a common denominator, multiply by .
Step 4.2.3
Combine and .
Step 4.2.4
Combine the numerators over the common denominator.
Step 4.2.5
Simplify the numerator.
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Step 4.2.5.1
Multiply by .
Step 4.2.5.2
Subtract from .
Step 4.2.6
Move the negative in front of the fraction.
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: