Conditions on the Domain and the Range of the Logarithmic Function

Q.

What is the logarithm of a negative number?

Q. If $2^5=32$, then in logarithmic form, it can be written as

1. 2
2. 5
3. 32

Q.

If $a={\pi }^{3e},b=3^{\pi e}andc=e^{3\pi },then$

1. $b<a<c$

2. $c<a<b$

3. $a<c<b$

4. $a<b<c$

Q. The logarithmic form of $4=2^2$ is

1. $lo{g}_2^4=2$
2. $lo{g}_2^2=2$
3. $lo{g}_2^4=4$
4. None of these