WBJEE PYQs for Logarithmic Differentiation with Solutions: Practice WBJEE Previous Year Questions

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Yashodeep Mahurkar

Updated on - Dec 31, 2025

Logarithmic Differentiation is an important topic in the Mathematics section in WBJEE exam. Practising this topic will increase your score overall and make your conceptual grip on WBJEE exam stronger.

This article gives you a full set of WBJEE PYQs for Logarithmic Differentiation with explanations for effective preparation. Practice of WBJEE Mathematics PYQs including Logarithmic Differentiation questions regularly will improve accuracy, speed, and confidence in the WBJEE 2026 exam.

WBJEE PYQs for Logarithmic Differentiation with Solutions

1.
The general value of the real angle $\theta$, which satisfies the equation, (cos$\theta$ + i sin$\theta$) (cos2$\theta$ + i sin2$\theta$)........ (cosn$\theta$ + i sinn$\theta$) = 1 is given by, (assuming k is an integer)
- $\frac{2k\pi}{n+2}$
- $\frac{4k\pi}{n\left(n+1\right)}$
- $\frac{4k\pi}{n+1}$
- $\frac{6k\pi}{n\left(n+1\right)}$
View Solution
2.
If y=logⁿx, where logⁿ means log_e log_e log_e .....(repeated n times), then xlogx log²x log³x....log ^n-1xlogⁿx $\frac{dy}{dx}$ is equal to :
- log x
- x
- 1
- logⁿx
View Solution
3.
If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is
- $(2? + 1)$
- $(2? + 3)$
- $\frac{1}{2}(2? + 1)$
- $2(2? + 1)$
View Solution
4.
If $\log _{0.2}(x-1)>\log _{0.04}(x+5)$, then
- $-1 < x < 4$
- $2 < x < 3$
- $1 < x < 4$
- $1 < x < 3$
View Solution

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WBJEE PYQs for Logarithmic Differentiation with Solutions

1.The general value of the real angle $\theta$, which satisfies the equation, (cos$\theta$ + i sin$\theta$) (cos2$\theta$ + i sin2$\theta$)........ (cosn$\theta$ + i sinn$\theta$) = 1 is given by, (assuming k is an integer)

2.If y=lognx, where logn means loge loge loge .....(repeated n times), then xlogx log2x log3x....log n-1 xlognx \(\frac{dy}{dx}\) is equal to :

3.If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is

4.If $\log _{0.2}(x-1)>\log _{0.04}(x+5)$, then

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1.
The general value of the real angle $\theta$, which satisfies the equation, (cos$\theta$ + i sin$\theta$) (cos2$\theta$ + i sin2$\theta$)........ (cosn$\theta$ + i sinn$\theta$) = 1 is given by, (assuming k is an integer)

2.
If y=logⁿx, where logⁿ means log_e log_e log_e .....(repeated n times), then xlogx log²x log³x....log ^n-1xlogⁿx \(\frac{dy}{dx}\) is equal to :

3.
If $\log_{7} \,2 = ?$, then the value of $\log_{49}\, \left(28\right)$ is

4.
If $\log _{0.2}(x-1)>\log _{0.04}(x+5)$, then