Question

4 is to power-11 into 4 is to power x is equal to 2

Answer 1

Answer:

${4}^{ - 11} \times {4}^{x} = 2 \\ \therefore \: {4}^{x - 11} = 2 \\ \therefore \: {2}^{2(x - 11)} = 2 \\ \therefore \: {2}^{2(x - 11)} = {2}^{1} \\ \therefore \: 2(x - 11) = 1 \\ \therefore \: 2x - 22= 1 \\ \\ \therefore \: 2x = 1 + 22 \\ \therefore \: 2x = 23 \\ \huge \fbox{\therefore \: x = \frac{23}{2} }$