Solve \({125^x}=25\)
\(x = \dfrac{2}{3}\)
Solve \({5^{4x - 7}}=1\)
\(x = 1.75\)
Solve \({8^x}=\dfrac{1}{4}\)
\(x = - \dfrac{2}{3}\)
Solve \({9^{2x + 1}}=3 \times {27^{x - 2}}\)
\(x = -7\)
Solve \({4^{x + 2}} \times {8^{1 - x}} =2 \)
\(x = 6\)
Solve the following exponential equation: \({3^k}\; = \;3\sqrt 3 \)
\(k = \frac{3}{2}\)
Solve the following exponential equation: \({2^{x + 3}}\; = \;32\)
\(x = 2\)
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 \(5^{x+2}=25\)
\(x=0\)
Solve \(4^{2x+1}=\dfrac{1}{2}\)
\(x=-0.75\)
Solve \(\left ( \dfrac{1}{2}\right )^{x-1}=8\)
\(x=-2\)
Solve \(27^{x-3}=81\)
\(\dfrac{13}{3}\)
