Bricks Logarithm

Q. If $lo{g}_{10}x=y,then,lo{g}_{1000}{x}^2$ is equal to

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

Q.

Express as a single logarithm

$2+\frac{1}{2}lo{g}_{10}9-2lo{g}_{10}5$

1. $lo{g}_{10}12$

2. $lo{g}_{10}2$

3. $lo{g}_{10}5$

4. $lo{g}_{10}7$

Q.

Logarithms with a base of 10 are called common logarithms.

1. True

2. False

Q.

How many types of logarithms are there?

Q.

${\log }_{25}36$ = ?

1. 2 log₂₅ 6

2. 

3. All of these

4. log₅ 6

Q.

If $lo{g}_{10}x=y$, then which of the following options are correct?

1. $lo{g}_{10}{x}^2=y^2$

2. $lo{g}_{10}{x}^2=2y$

3. $lo{g}_{1000}{x}^2=\frac{3y}{2}$

4. $lo{g}_{1000}{x}^2=\frac{2y}{3}$

Q. Give a brief description about logarithm.

Q.

If y =${\log }_x$ 2. Find the value of ${\log }_4$ x.

1. 2y

2. y²

3. 

4. y

Q. The value of $(\log 4+\frac{1}{3}\log 125-\frac{1}{5}\log 32)$ is equal to

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

Q. If $lo{g}_{10}x=ythenlo{g}_{1000}{x}^2$ is equal to

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

Q. The value of
$lo{g}_{3}4.lo{g}_{4}5.lo{g}_{5}6.lo{g}_{6}7.lo{g}_{7}8.lo{g}_{8}9$ is

1. 1
2. 2
3. 3
4. 4

Q. if $x=3$ and $y=4$ find the value of ${\log }_{5}3x+4y$

Q.

log 0.01 to the base 10 is ___

1. -3

2. -2

3. -1

4. 1

Q. If ${\log }_{3}81=x$, then $x$ is equal to_____

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

Q. The value of $lo{g}_{3}4.lo{g}_{4}5.lo{g}_{5}6.lo{g}_{6}7.lo{g}_{7}8.lo{g}_{8}9$ is

1. 1
2. 2
3. 3
4. 4

Q. If $(4{)}^{x+y}=1$ and $(4{)}^{x-y}=4$, then the value of $x$ and $y$ will be respectively:

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

Q. If ${\log }_3\left({\log }_{2}x\right)=1$ then value of x is

1. 6
2. 2
3. 3
4. 8

Q. What is the value of ${\log }_{100}0.1$

1. $1/2$
2. $-1/2$
3. $-2$
4. $2$

Q. The value of the logarithm ${\log }_{10}(0.06{)}^6$ is equal to

1. $-1.222$
2. $1.222$
3. $-7.331$
4. $7.331$

Q. If $lo{g}_{10}x=ythenlo{g}_{1000}{x}^2$ is equal to

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

Q.

Evaluate $lo{g}_{10}\frac{1}{10000}$.

1. -4

2. 4

3. 1

4. -1

Q.

If $lo{g}_{10}2=0.30103,lo{g}_{10}3=0.47712$, the number of digits in $3^{12}\times 2^8$ is

1. 7

2. 10

3. 8

4. 9

Q.

If $lo{g}_{10}2=0.30103$, then $lo{g}_{10}50=$

1. 2.30103

2. 2.69897

3. 1.69897

4. 0.69897

Q.

If 10 to the power 3 = 1000 then log 1000 to the base 10 is ___

1. 2

2. 0

3. 1

4. 3

Q. The value of ${\log }_3(1+\frac{1}{3})+{\log }_3(1+\frac{1}{4})+\cdots +{\log }_3(1+\frac{1}{80})$ is

1. $0$
2. $1$
3. $3$
4. $6$

Q. Find the value of ${\log }_2\left(3^{-{\log }_{3}0.25}\right)$.

Q. If $\left({\log }_{3}x\right)\left({\log }_{x}2x\right)\left({\log }_{2x}y\right)={\log }_x{x}^2$, then $y$ equals:

1. $\frac{9}{2}$
2. $9$
3. $18$
4. $27$
5. $81$

Q.

If 10 to the power 3 = 1000 then log 1000 to the base 10 is ___

1. 2

2. 0

3. 1

4. 3

Q.

If $lo{g}_{10}3=0.477$, then the value of $lo{g}_{10}{3}^{40}$ is approximately:

1. 19

2. 17

3. 22

4. 25

Q. Evaluate: