The explanations used to solve the given equation in the correct sequence is:
1. Rewrite 125 as a power of 5
2. Equate the exponents of the equation
3. Add 9 to each side
4. Divide each side by 6
What is equation?
An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Given
[tex]5^{6x-9} =125[/tex]
Rewrite 125 as a power of 5
⇒ [tex]5^{6x-9} =5^{3}[/tex]
Equate the exponents of the equation
⇒ [tex]6x - 9= 3[/tex]
Add 9 to each side
⇒ 6x - 9 + 9 = 3 + 9
⇒ 6x = 12
Divide each side by 6
⇒ [tex]\frac{6x}{6} = \frac{12}{6}[/tex]
⇒ x = 2
The explanations used to solve the given equation in the correct sequence is:
1. Rewrite 125 as a power of 5
2. Equate the exponents of the equation
3. Add 9 to each side
4. Divide each side by 6
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