Question

Solve:

-2(6)^x=-432

Answer 1

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

Answer 2

`\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`

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