Q19 Prep 2 Algebra T2 Question Bank

a) If \(\mathbf{2^X = 5}\), then \(\mathbf{8^X =}\) ......

a) \(\mathbf{5}\)

b) \(\mathbf{15}\)

c) \(\mathbf{25}\)

d) \(\mathbf{125}\)

\(\mathbf{8^X = 125}\) (Because \(8^X = (2^3)^X = (2^X)^3 = 5^3 = 125\))

b) If \(\mathbf{6^X = 11}\), then \(\mathbf{6^{X+1} =}\) ......

a) \(\mathbf{12}\)

b) \(\mathbf{22}\)

c) \(\mathbf{66}\)

d) \(\mathbf{72}\)

\(\mathbf{6^{X+1} = 66}\) (Because \(6^{X+1} = 6^X \times 6 = 11 \times 6 = 66\))

MR/Nasef.N