Exponential Equations

Q. What would be the value of $x$ for the equation $2^x=32$ ?

1. 2
2. 3
3. 5
4. 6

Q. What would be the value of $x$ for the equation $8^x=16$ ?

1. $\frac{1}{3}$
2. $\frac{2}{3}$
3. $\frac{4}{3}$
4. $\frac{5}{3}$

Q. The value of $x$ which satisfies $3^{2x-1}=27$ is .

Q. If $3^x=27$, what is $x$?

1. $3$
2. $4$
3. $5$
4. $6$

Q. If $5^N=\frac{1}{125}$, $N$ is

1. -3
2. -4
3. -5
4. -6

Q. What is the value of $‘‘x"$ in the expression $(\frac{11}{9}{)}^3\times (\frac{9}{11}{)}^6=(\frac{11}{9}{)}^{2x-1}$?

1. $1$
2. $-1$
3. $0$
4. None of the above

Q. What would be the value of $x$ for the equation $5^x=\frac{1}{125}$ ?

1. -2
2. -3
3. 4
4. 5

Q. What is Y in $8^Y=16$?

1. $\frac{4}{3}$
2. $\frac{2}{3}$
3. $2$
4. $1$

Q. What would be the value of $x$ for the equation $2^x=\sqrt{2}$ ?

1. $\frac{1}{2}$
2. $\frac{1}{3}$
3. $\frac{1}{4}$
4. $\frac{1}{5}$

Q. The value of $u$ which satisfies $\frac{{16}^u}{2^{2u}}=4^2$ is .

Q. If $3^{X-6}=\frac{1}{81}$, $X$ is

Q. For which value of $a,3^{-3a}=\frac{1}{27}?$

1. $\frac{1}{3}$
2. $\frac{2}{3}$
3. $1$
4. None of the above

Q. The value of $x$ so that $(-5{)}^{x+1}\times (-5{)}^5=(-5{)}^7$ is

1. -1
2. 2
3. 1

Q. For which value of $q,8^{-2q+3}=8^{-3q}?$

1. $q=3$
2. $q=1$
3. $q=-3$
4. $q=-1$