Questions: Solve -6+4 * 2^x=30. A. x=log 2(9) B. x=log 8(9) C. x=log 4(18) D. x=log 9(2)

Solution Steps

Starting with the equation: \[ -6 + 4 \cdot 2^x = 30 \] we add 6 to both sides: \[ 4 \cdot 2^x = 36 \]

Next, we divide both sides by 4: \[ 2^x = 9 \]

To find \(x\), we take the logarithm base 2 of both sides: \[ x = \log_2(9) \] Calculating this gives: \[ x \approx 3.1699 \]

Final Answer