Finite Math Examples

Solve for x 4(2)^(3x)=1024
Step 1
Rewrite as .
Step 2
Use the power rule to combine exponents.
Step 3
Create equivalent expressions in the equation that all have equal bases.
Step 4
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Step 5
Solve for .
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Step 5.1
Move all terms not containing to the right side of the equation.
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Step 5.1.1
Subtract from both sides of the equation.
Step 5.1.2
Subtract from .
Step 5.2
Divide each term in by and simplify.
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Step 5.2.1
Divide each term in by .
Step 5.2.2
Simplify the left side.
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Step 5.2.2.1
Cancel the common factor of .
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Step 5.2.2.1.1
Cancel the common factor.
Step 5.2.2.1.2
Divide by .
Step 6
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Mixed Number Form: