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(-3)^(x)=4


2x=12

2121. (3)x=4 (-3)^{x}=4 \newline2x=12 2 x=12

Full solution

Q. 2121. (3)x=4 (-3)^{x}=4 \newline2x=12 2 x=12
  1. Exponential Equation: Step 11: Solve the first equation (3)x=4(-3)^{x}=4.\newlineWe know that any real number raised to any real exponent cannot result in a negative number when the base is negative and the exponent is not a fraction. Therefore, there is no real solution for (3)x=4(-3)^{x}=4.
  2. Linear Equation: Step 22: Solve the second equation 2x=122x=12.\newlineDivide both sides by 22 to isolate xx:\newline2x2=122\frac{2x}{2} = \frac{12}{2},\newlinex=6x = 6.

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