Create equivalent expressions in the equation that all have equal bases.
Since the bases are the same, then two expressions are only equal if the exponents are also equal.
Solve for z.
Apply the distributive property.
Multiply 3 by 2.
Multiply 2 by -5.
Move all terms containing z to the left side of the equation.
Subtract 6z from both sides of the equation.
Subtract 6z from 4z.
Move all terms not containing z to the right side of the equation.
Subtract 1 from both sides of the equation.
Subtract 1 from -10.
Divide each term by -2 and simplify.
Divide each term in -2z=-11 by -2.
Cancel the common factor of -2.
Cancel the common factor.
Divide z by 1.
Dividing two negative values results in a positive value.
The result can be shown in multiple forms.
Mixed Number Form:
Solve for z 3^(4z+1)=9^(3z-5)