Giải các phương trình sau (sử dụng tính đơn điệu):
a) ${\left(2-\sqrt{3}\right)}^x+{\left(2+\sqrt{3}\right)}^x=4^x$

b) ${\left(\sqrt{3}-\sqrt{2}\right)}^x+{\left(\sqrt{3}+\sqrt{2}\right)}^x={\left(\sqrt{5}\right)}^x$

c) ${\left(3+2\sqrt{2}\right)}^x+{\left(3-2\sqrt{2}\right)}^x=6^x$

d) ${\left(3+\sqrt{5}\right)}^x+16.{\left(3-\sqrt{5}\right)}^x=2^{x+3}$

e) ${\left(\frac{3}{5}\right)}^x+\frac{7}{5}=2^x$

f) ${\left(\sqrt{2+\sqrt{3}}\right)}^x+{\left(\sqrt{2-\sqrt{3}}\right)}^x=2^x$

g) $2^x+3^x+5^x=10^x$

h) $2^x+3^x=5^x$

i) $2^{x-1}-2^{x^2-x}=(x-1{)}^2$

k) $3^x=5-2x$

l) $2^x=3-x$

m) $2^{x+1}-4^x=x-1$

n) $2^x=3^{\frac{x}{2}}+1$

o) $4^x+7^x=9x+2$

p) $5^{2x+1}-5^{3x}-x+1=0$

q) $3^x+8^x=4^x+7^x$

r) $6^x+2^x=5^x+3^x$

s) $9^x+15^x=10^x+14^x$