Question

Solve for x : 3^(3x+3) = 9^(x+4)​

Answer 1

Answer:

Create equivalent expressions in the equation that all have equal bases.

9

3

x

−

3

=

9

2

(

x

+

3

)

Since the bases are the same, then two expressions are only equal if the exponents are also equal.

3

x

−

3

=

2

(

x

+

3

)

Solve for

x

.

Answer 2

Step-by-step explanation:

3^(3x+3) = 9^(X+4)

3^(3x+3)=3^2(X+4)

bases are equal

powers should be

equated

3x+3=2(X+4)

3x+3= 2x+8

3x-2x= 8-3

X=5