Tìm x biết? Tính?
Giúp mình với
----- Nội dung dịch tự động từ ảnh -----
Bài toán 10: Tìm x bi t:
a) \(\left( \frac{1}{16} \right)^{x} = \left( \frac{1}{2} \right)^{10}\)
b) \(\left( -\frac{8}{13} \right)^{x} = \frac{64}{169}\)
c) \(\left( \frac{1}{64} \right)^{x} = \left( -\frac{1}{8} \right)^{14}\)
d) \(\left( -\frac{2}{3} \right)^{x} = -\frac{8}{27}\)
e) \(\left( \frac{4}{9} \right)^{x-1} = \left( \frac{8}{27} \right)^{6}\)
f) \(\left( \frac{1}{16} \right)^{x-2} = \left( \frac{1}{32} \right)^{6}\)
Bài toán 11: Tính
a) \(\frac{(-3)^{10}.15^{5}}{25^{3}.(-9)^{7}}\)
b) \(\frac{4^{30}.3^{43}}{2^{57}.27^{15}}\)
c) \(\frac{(-27)^{10}.16^{25}}{6^{30}.(-32)^{15}}\)
d) \(\frac{(-5)^{60}.30^{5}}{15^{5}.5^{61}}\)
e) \(\frac{(-4)^{32}.5^{25}}{25^{10}.16^{8}}\)
f) \(\frac{3^{27}.15^{-30}.(-4)^{16}}{(-15)^{-30}.8^{11}}\)
Bài toán 12: Tìm x ∈ ℤ bi t:
a) \(3^{x} + 3^{x+2} = 9^{17} + 27^{12}\)
b) \(5^{x+1} - 5^{x} = 100.25^{29}\)
c) \(\frac{1}{5^{2x} + 1/3^{2x+1}} = \frac{1}{5^{2} . 7} + \frac{1}{3^{2.8}}\)
----- Nội dung dịch tự động từ ảnh -----
Bài toán 10: Tìm x bi t:
a) \(\left( \frac{1}{16} \right)^{x} = \left( \frac{1}{2} \right)^{10}\)
b) \(\left( -\frac{8}{13} \right)^{x} = \frac{64}{169}\)
c) \(\left( \frac{1}{64} \right)^{x} = \left( -\frac{1}{8} \right)^{14}\)
d) \(\left( -\frac{2}{3} \right)^{x} = -\frac{8}{27}\)
e) \(\left( \frac{4}{9} \right)^{x-1} = \left( \frac{8}{27} \right)^{6}\)
f) \(\left( \frac{1}{16} \right)^{x-2} = \left( \frac{1}{32} \right)^{6}\)
Bài toán 11: Tính
a) \(\frac{(-3)^{10}.15^{5}}{25^{3}.(-9)^{7}}\)
b) \(\frac{4^{30}.3^{43}}{2^{57}.27^{15}}\)
c) \(\frac{(-27)^{10}.16^{25}}{6^{30}.(-32)^{15}}\)
d) \(\frac{(-5)^{60}.30^{5}}{15^{5}.5^{61}}\)
e) \(\frac{(-4)^{32}.5^{25}}{25^{10}.16^{8}}\)
f) \(\frac{3^{27}.15^{-30}.(-4)^{16}}{(-15)^{-30}.8^{11}}\)
Bài toán 12: Tìm x ∈ ℤ bi t:
a) \(3^{x} + 3^{x+2} = 9^{17} + 27^{12}\)
b) \(5^{x+1} - 5^{x} = 100.25^{29}\)
c) \(\frac{1}{5^{2x} + 1/3^{2x+1}} = \frac{1}{5^{2} . 7} + \frac{1}{3^{2.8}}\)