Question 1
14541

Solve the following exponential equation: \({2^{x + 3}}\; = \;32\)

\(x = 2\)

Question 2
14540

Solve the following exponential equation: \({3^k}\; = \;3\sqrt 3 \)

\(k = \frac{3}{2}\)

Question 3
14542

Solve the following exponential equation: \({4^{x + 1}}\; = \;16\sqrt 2 \)

\(x = \dfrac{5}{4}\)

Question 4
14543

Solve the following exponential equation: \({9^{3 - k}}\; = \;9\sqrt 9 \)

\(k = \dfrac{3}{2}\)

Question 5
14544

Solve the following exponential equation: \({8^{x - 1}}\; = \;\dfrac{1}{{16\sqrt 2 }}\)

\(x = - \dfrac{1}{2}\)

Question 6
15797

Solve \({27^{x - 1}} = {3^{2x + 5}}\)

\(x=10\)