Logarithms is an important topic in the Quantitative Ability and Data Interpretation section in SNAP exam. Practising this topic will increase your score overall and make your conceptual grip on SNAP exam stronger.
This article gives you a full set of SNAP Logarithms previous year questions (PYQs) with explanations for effective preparation. Practice of SNAP PYQs on Quantitative Ability and Data Interpretation including Logarithms questions regularly will improve accuracy, speed, and confidence in the SNAP 2025 exam.
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SNAP PYQs on Logarithms with Solutions
1.
What is the value of x in the following expression?
\(x+\log_{10}(1+2^x)=x\log_{10}5+\log_{10}6\)- 1
- 0
- -1
- 3
2.
If \(\frac 12 \ log\ x+\frac 12\ log\ y+log\ 2=log(x+y)\), then- x = −y
- x = y + 1
- x = y
- y = x + 1
3.
Find the value of \(\log_{3{^2}}5^4\times\log_{5{^2}}3^4\)- 5
- 3
- 4
- 2
4.
Find the value of: $\log 87600+\log 23100-8 =\ ?$- $\log 8.76 + \log 2.31$
- $\log 87.6 + \log 23.1$
- $\log 876 + \log 231$
- None of these
5.
Sham is trying to solve the expression:
\[ \log \tan 1^\circ + \log \tan 2^\circ + \log \tan 3^\circ + \ldots + \log \tan 89^\circ. \]
The correct answer would be?- 1
- \(\frac{1}{\sqrt{2}}\)
- 0
- -1
6.
What is the value of \( \log 8 / \log 64 \)?- 0.25
- \( \frac{1}{3} \)
- 0.5
- None of these
7.
If \(\log(10x)=3\), what is the value of \(x\)?
- \(10\)
- \(100\)
- \(1{,}000\)
- \(1\)
8.
If \(\log_{10} 11 = a\) then \(\log_{10} \left(\frac{1}{110}\right)\) is equal to?- \(-a\)
- \((1 + a)^{-1}\)
- \(\frac{1}{10a}\)
- \(-(a + 1)\)
9.
If \(log\ x = log\ 4.8 - log\ 1.6\) and \(log\ y = log\ 4.6 - log\ 2.3\). Find \(x+y\).- 6
- 4
- 5
- None of these
10.
Find the value of $\log_{20} 100 + \log_{20} 1000 + \log_{20} 10000 \quad \bigl[\textit{Assume that } \log 2 = 0.3\bigr].$
- $90/13$
- $80/13$
- $110/13$
$70/13$
11.
Let $u=(\log_2 x)^2-6\log_2 x+12$ where $x$ is a real number. Then the equation $x^u=256$ has:- no solution for $x$
- exactly one solution for $x$
- exactly two distinct solutions for $x$
- exactly three distinct solutions for $x$
12.
If $\log x-5\log 3=-2$, then $x$ equals
- $1.25$
- $0.81$
- $2.43$
$0.8$
13.
If (log10x = 3 ), what is the value of ( x ) ?- 10
- 100
- 1,000
- 1
14.
If \(3^{(x-y)} = 27\) and \(3^{(x+y)} = 243\), find the value of \(x\).
- \(4\)
- \(6\)
- \(2\)
- \(0\)
15.
\(log_5 25+log_2 (log_3 81)\) is- 1
- 2
- 3
- 4





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