### Home > PC > Chapter 3 > Lesson 3.1.3 > Problem3-41

3-41.

Using the laws of exponents, solve for $A$ in each of the following equations.

1. $5 \cdot 3 ^ { ( x + 2 ) } = A \cdot 3 ^ { x }$

$\left(5\right)3^{x}·3^{2} = \left(A\right)3^{x}$

$\left(5\right)3^{2} = \left(A\right)$

$45 = A$

1. $\frac { 1 } { 25 } \cdot 5 ^ { ( x + 4 ) } = A \cdot 5 ^ { x }$

Follow the same thinking process as in (a).

1. $16 \cdot 2 ^ { ( x + 4 ) } = A \cdot 2 ^ { x }$

Follow the same thinking process as in (a).

1. $\frac { 1 } { 3 } \cdot 3 ^ { ( x - 2 ) } = A \cdot 3 ^ { x }$

Follow the same thinking process as in (a).