# Solve for x 3^(2x)-3^(x+2)+8=0 Rewrite as .
Rewrite as .
Substitute for .
Solve for .
Simplify each term.
Raise to the power of .
Multiply by .
Factor using the AC method.
Consider the form . Find a pair of integers whose product is and whose sum is . In this case, whose product is and whose sum is .
Write the factored form using these integers.
If any individual factor on the left side of the equation is equal to , the entire expression will be equal to .
Set the first factor equal to and solve.
Set the first factor equal to .
Add to both sides of the equation.
Set the next factor equal to and solve.
Set the next factor equal to .
Add to both sides of the equation.
The final solution is all the values that make true.
Substitute for in .
Solve .
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.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Substitute for in .
Solve .
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.
The natural logarithm of is .
Divide each term by and simplify.
Divide each term in by .
Cancel the common factor of .
Cancel the common factor.
Divide by .
Divide by .
List the solutions that makes the equation true.
The result can be shown in multiple forms.
Exact Form:
Decimal Form:
Solve for x 3^(2x)-3^(x+2)+8=0     