Solve for a 7^(a+2)+4*7^(a-1)=35

Math
Rewrite as .
Rewrite as .
Substitute for .
Solve for .
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Simplify .
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Simplify each term.
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Raise to the power of .
Rewrite the expression using the negative exponent rule .
Combine and .
Combine and .
To write as a fraction with a common denominator, multiply by .
Simplify terms.
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Combine and .
Combine the numerators over the common denominator.
Simplify each term.
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Simplify the numerator.
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Factor out of .
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Factor out of .
Factor out of .
Factor out of .
Multiply by .
Add and .
Move to the left of .
Add to both sides of the equation.
Multiply both sides of the equation by .
Simplify both sides of the equation.
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Simplify .
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Cancel the common factor of .
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Cancel the common factor.
Rewrite the expression.
Cancel the common factor of .
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Factor out of .
Cancel the common factor.
Rewrite the expression.
Multiply .
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Combine and .
Multiply by .
Substitute for in .
Solve .
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Rewrite the equation as .
Take the natural logarithm of both sides of the equation to remove the variable from the exponent.
Expand by moving outside the logarithm.
Divide each term by and simplify.
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Divide each term in by .
Cancel the common factor of .
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Cancel the common factor.
Divide by .
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for a 7^(a+2)+4*7^(a-1)=35

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