iCON Education - Logarithms BITSAT Test

Question 1: Palette 1/3

BITSAT 2025 MCQ

The number of real solution of $\sqrt{\left(7-\log _3|x|\right)}=4-\log _3|x|$ is equal to

A

1

B

2

C

3

D

4

Question 2: Palette 2/3

BITSAT 2021 MCQ

If log₇ 5 = a, log₅ 3 = b and log₃ 2 = c, then the logarithm of the number 70 to the base 225 is

A

${{1 - a + abc} \over {2a(1 + b)}}$

B

${{1 - a - abc} \over {2a(1 + b)}}$

C

${{1 + a - abc} \over {2a(1 + b)}}$

D

${{1 + a + abc} \over {2a(1 + b)}}$

Question 3: Palette 3/3

BITSAT 2020 MCQ

If ${\log _5}{{(a + b)} \over 3} = {{{{\log }_5}a + {{\log }_5}b} \over 2}$, then ${{{a^4} + {b^4}} \over {{a^2}{b^2}}}$ is equal to

A

50

B

47

C

44

D

53