Respuesta :

Answer:

x = 3

Step-by-step explanation:

1) Divide both sides by -2.

[tex]6^x=\frac{-432}{-2}[/tex]

2) Two negatives make a positive.

[tex]6^x=\frac{432}{2}[/tex]

3) Simplify [tex]\frac{432}{2}[/tex] to 216.

[tex]6^x=216[/tex]

4) Convert both sides to the same base.

[tex]6^x=6^3[/tex]

5)  Cancel the base of 6 on both sides.

x = 3

Amphitrite1040

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathbf{-2(6)^x = -432}[/tex]

[tex]\huge\textbf{DIVIDE -2 to BOTH SIDES:}[/tex]

[tex]\mathbf{\dfrac{-2(6^x)}{-2} = \dfrac{-432}{-2}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Solve for the current exponent:}[/tex]

[tex]\mathbf{6^x = 216}[/tex]

[tex]\huge\textbf{Log them:}[/tex]

[tex]\mathbf{Log \ 6^x = log = 216}[/tex]

[tex]\huge\textbf{Take the log to both of the sides:}[/tex]

[tex]\mathbf{x \times log (6) = log(216)}[/tex]

[tex]\huge\textbf{Convert it:}[/tex]

[tex]\mathbf{x = \dfrac{log(216)}{log(6)}}[/tex]

[tex]\huge\textbf{SIMPLIFY IT!}[/tex]

[tex]\mathbf{x = 3}[/tex]

[tex]\huge\textbf{Answer:}[/tex]

[tex]\huge\boxed{\mathsf{x = 3}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

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