Finite Math Examples

Solve for x 5^(x-1)=6^x
Step 1
Take the log of both sides of the equation.
Step 2
Expand by moving outside the logarithm.
Step 3
Expand by moving outside the logarithm.
Step 4
Solve the equation for .
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Step 4.1
Simplify .
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Step 4.1.1
Rewrite.
Step 4.1.2
Simplify by adding zeros.
Step 4.1.3
Apply the distributive property.
Step 4.1.4
Rewrite as .
Step 4.2
Subtract from both sides of the equation.
Step 4.3
Add to both sides of the equation.
Step 4.4
Factor out of .
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Step 4.4.1
Factor out of .
Step 4.4.2
Factor out of .
Step 4.4.3
Factor out of .
Step 4.5
Rewrite as .
Step 4.6
Divide each term in by and simplify.
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Step 4.6.1
Divide each term in by .
Step 4.6.2
Simplify the left side.
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Step 4.6.2.1
Cancel the common factor of .
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Step 4.6.2.1.1
Cancel the common factor.
Step 4.6.2.1.2
Divide by .
Step 5
The result can be shown in multiple forms.
Exact Form:
Decimal Form: