Giải thích các bước giải:
Ta có:
\(\begin{array}{l}
1,\\
b,\\
{4^{24}} < {6^{24}} < {6^{25}}\\
e,\\
{7.2^{13}} < {8.2^{13}} = {2^3}{.2^{13}} = {2^{3 + 13}} = {2^{16}}\\
f,\\
{3^{39}} < {3^{42}} = {3^{2.21}} = {\left( {{3^2}} \right)^{21}} = {9^{21}} < {11^{21}}\\
2,\\
a,\\
{\left( {7x - 11} \right)^3} = {2^5}{.5^2} + 200\\
\Leftrightarrow {\left( {7x - 11} \right)^3} = 32.25 + 200\\
\Leftrightarrow {\left( {7x - 11} \right)^3} = 800 + 200\\
\Leftrightarrow {\left( {7x - 11} \right)^3} = 1000\\
\Leftrightarrow {\left( {7x - 11} \right)^3} = {10^3}\\
\Leftrightarrow 7x - 11 = 10\\
\Leftrightarrow 7x = 10 + 11\\
\Leftrightarrow 7x = 21\\
\Leftrightarrow x = 21:7\\
\Leftrightarrow x = 3
\end{array}\)
