Given the equation:
[tex]5^{(6x-9)}=125[/tex]
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
[tex]5^{(6x-9)}=5^3[/tex]
• Step 2:
Divide each side by 5
[tex]\begin{gathered} \frac{5^{(6x-9)}}{5}=\frac{5^3}{5} \\ \\ 1^{(6x-9)}=1^3 \end{gathered}[/tex]
• Step 3:
Since the exponents are equivalent, equate the exponents of the equation:
[tex]6x-9=3[/tex]
• Step 4:
Add 9 to each side of the equation.
[tex][/tex]
