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16 votes
Solve:

-2(6)^x=-432

User Biotom
by
8.2k points

2 Answers

3 votes

Answer:

x = 3

Explanation:

1) Divide both sides by -2.


6^x=(-432)/(-2)

2) Two negatives make a positive.


6^x=(432)/(2)

3) Simplify
(432)/(2) to 216.


6^x=216

4) Convert both sides to the same base.


6^x=6^3

5) Cancel the base of 6 on both sides.

x = 3

User Lucretiel
by
9.0k points
10 votes


\huge\text{Hey there!}


\huge\textbf{Equation:}


\mathbf{-2(6)^x = -432}


\huge\textbf{DIVIDE -2 to BOTH SIDES:}


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


\huge\textbf{SIMPLIFY IT!}


\mathbf{6^x = 216}


\huge\textbf{Solve for the current exponent:}


\mathbf{6^x = 216}


\huge\textbf{Log them:}


\mathbf{Log \ 6^x = log = 216}


\huge\textbf{Take the log to both of the sides:}


\mathbf{x * log (6) = log(216)}


\huge\textbf{Convert it:}


\mathbf{x = (log(216))/(log(6))}


\huge\textbf{SIMPLIFY IT!}


\mathbf{x = 3}


\huge\textbf{Answer:}


\huge\boxed{\mathsf{x = 3}}\huge\checkmark


\huge\text{Good luck on your assignment \& enjoy your day!}

~
\frak{Amphitrite1040:)}

User Lew Bloch
by
8.8k points

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