Precalculus Examples

Solve for x 6(2^(3x-1))-7=9
Step 1
Move all terms not containing to the right side of the equation.
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Step 1.1
Add to both sides of the equation.
Step 1.2
Add and .
Step 2
Divide each term in by and simplify.
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Step 2.1
Divide each term in by .
Step 2.2
Simplify the left side.
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Step 2.2.1
Cancel the common factor of .
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Step 2.2.1.1
Cancel the common factor.
Step 2.2.1.2
Divide by .
Step 2.3
Simplify the right side.
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Step 2.3.1
Cancel the common factor of and .
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Step 2.3.1.1
Factor out of .
Step 2.3.1.2
Cancel the common factors.
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Step 2.3.1.2.1
Factor out of .
Step 2.3.1.2.2
Cancel the common factor.
Step 2.3.1.2.3
Rewrite the expression.
Step 3
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 4
Expand by moving outside the logarithm.
Step 5
Simplify the left side.
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Step 5.1
Simplify .
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Step 5.1.1
Apply the distributive property.
Step 5.1.2
Rewrite as .
Step 6
Move all the terms containing a logarithm to the left side of the equation.
Step 7
Move all terms not containing to the right side of the equation.
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Step 7.1
Add to both sides of the equation.
Step 7.2
Add to both sides of the equation.
Step 8
Divide each term in by and simplify.
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Step 8.1
Divide each term in by .
Step 8.2
Simplify the left side.
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Step 8.2.1
Cancel the common factor of .
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Step 8.2.1.1
Cancel the common factor.
Step 8.2.1.2
Rewrite the expression.
Step 8.2.2
Cancel the common factor of .
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Step 8.2.2.1
Cancel the common factor.
Step 8.2.2.2
Divide by .
Step 8.3
Simplify the right side.
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Step 8.3.1
Cancel the common factor of .
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Step 8.3.1.1
Cancel the common factor.
Step 8.3.1.2
Rewrite the expression.
Step 9
The result can be shown in multiple forms.
Exact Form:
Decimal Form: