Algebra Examples

Solve for x 5^(x+1)+5^(x-1)=26
Step 1
Factor out from the expression.
Step 2
Add and .
Step 3
Move to the left of .
Step 4
Divide each term in by and simplify.
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Step 4.1
Divide each term in by .
Step 4.2
Simplify the left side.
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Step 4.2.1
Cancel the common factor of .
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Step 4.2.1.1
Cancel the common factor.
Step 4.2.1.2
Divide by .
Step 4.3
Simplify the right side.
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Step 4.3.1
Divide by .
Step 5
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Step 6
Expand by moving outside the logarithm.
Step 7
Simplify the left side.
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Step 7.1
Simplify .
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Step 7.1.1
Apply the distributive property.
Step 7.1.2
Rewrite as .
Step 8
Simplify the right side.
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Step 8.1
The natural logarithm of is .
Step 9
Add to both sides of the equation.
Step 10
Divide each term in by and simplify.
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Step 10.1
Divide each term in by .
Step 10.2
Simplify the left side.
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Step 10.2.1
Cancel the common factor of .
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Step 10.2.1.1
Cancel the common factor.
Step 10.2.1.2
Divide by .
Step 10.3
Simplify the right side.
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Step 10.3.1
Cancel the common factor of .
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Step 10.3.1.1
Cancel the common factor.
Step 10.3.1.2
Rewrite the expression.