A. $$a^m.a^n=a^{m.n}$$

B. $$\frac{a^m}{a^n}=a^{\frac{m}{n}}$$

C. $$\left(a^m\right)^n\ =\ a^m+a^n$$

D. $$\left(\frac{a}{b}\right)^m=\frac{a^m}{b^m}$$

A. 3

B. $$-3$$

C. $$\frac{1}{3}$$

D. $$-\frac{1}{3}$$

A. $$\frac{1}{3}\log a\ +\frac{1}{2}\log b$$

B. $$2\log a\ +3\log b$$

C. $$3\log a\ +2\log b$$

D. $$\frac{1}{2}\log a\ +\frac{1}{3}\log b$$

A. $$D=\left(4;+\infty\right)$$

B. $$D=R$$

C. $$D=\ \left(-\infty;4\right)$$

D. $$D=\left(-4;4\right)$$

A. $$2025^x$$

B. $$\left(\frac{2024}{2025}\right)^x$$

C. $$0.15^{2x}$$

D. $$\left(\frac{6-\sqrt[]{24}}{7}\right)^x$$

A.
$$\log_a\left(b.c\right)=\log_ab\ +\log_ac$$

B. $$a^{\log_ab}\ =b$$

C.
$$\log_ab^{\alpha}\ =\alpha.\log_ab$$

D. $$\log_ab\ =\frac{\ln a}{\ln b}$$

A. x = 9

B. x = 10

C. x = 8

D. x = 12

A. S = $$\left(4;+\infty\right)$$

B. S = $$\left(-\infty;-4\right)$$

C. S = $$\left(-\infty;4\right)$$

D. S = $$\left(-4;+\infty\right)$$

A. $$a>b>c$$

B. $$b>c>a$$

C. $$b>a>c$$

D. $$c>b>a$$