Logarithm and A...

$$\log {3} + \log {5}$$ is equal to..........

Simplify the following using law of exponents for $$a=2, x=1,y=1,z=1$$
$$a^x\times a^y\times a^z$$

If $$x^2+y^2=25$$ , then $$log_5 \begin {bmatrix} Max (3x+4y) \end {bmatrix}$$ is

Simplify the following using law of exponents.
$$(-3)^3\times (-3)^{10}\times (-3)^7$$

$$\log_8 {64}$$ is equal to_____

$$\log_4{64}$$ is equal to____

If $$\displaystyle \int{ \frac{(\sqrt{x})^5}{(\sqrt{x})^7 + x^6} } dx = a\ log \left( \frac{x^k}{1 + x^k} \right) + c$$, then a and k are

If the mantissa of $$\log 2125 =3.3273$$, find the mantissa of $$\log21.25$$

$$\log_3 {27}$$ is equal to____

$$\log {5} + \log {8}$$ is equal to........