Solve the following exponential equation: \({2^{x + 3}}\; = \;32\)
\(x = 2\)
Solve the following exponential equation: \({3^k}\; = \;3\sqrt 3 \)
\(k = \frac{3}{2}\)
Solve the following exponential equation: \({4^{x + 1}}\; = \;16\sqrt 2 \)
\(x = \dfrac{5}{4}\)
Solve the following exponential equation: \({9^{3 - k}}\; = \;9\sqrt 9 \)
\(k = \dfrac{3}{2}\)
Solve the following exponential equation: \({8^{x - 1}}\; = \;\dfrac{1}{{16\sqrt 2 }}\)
\(x = - \dfrac{1}{2}\)
Solve \({27^{x - 1}} = {3^{2x + 5}}\)
\(x=10\)