Question

Drag the explanations used to solve the given equation in the correct sequence.5/6=9)=125

Answer 1

Given the equation:

$5^{(6x-9)}=125$

Let's solve the equation step by step by step, then drag the explanations used to solve the given equation in the correct sequence.

• Step 1:

Rewrite 125 as a power of 5

$5^{(6x-9)}=5^3$

• Step 2:

Divide each side by 5

$\begin{gathered} \frac{5^{(6x-9)}}{5}=\frac{5^3}{5} \\ \\ 1^{(6x-9)}=1^3 \end{gathered}$

• Step 3:

Since the exponents are equivalent, equate the exponents of the equation:

$6x-9=3$

• Step 4:

Add 9 to each side of the equation.