Question

Solve: -2(6)^x=-432

Answer 1

Answer:

x = 3

Step-by-step explanation:

1) Divide both sides by -2.

$6^x=\frac{-432}{-2}$

2) Two negatives make a positive.

$6^x=\frac{432}{2}$

3) Simplify $\frac{432}{2}$ 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

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

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

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

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{6^x = 216}$

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

$\mathbf{6^x = 216}$

$\huge\textbf{Log them:}$

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

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

$\mathbf{x \times log (6) = log(216)}$

$\huge\textbf{Convert it:}$

$\mathbf{x = \dfrac{log(216)}{log(6)}}$

$\huge\textbf{SIMPLIFY IT!}$

$\mathbf{x = 3}$

$\huge\textbf{Answer:}$

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

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

~$\frak{Amphitrite1040:)}$