List of top Quantitative Ability and Data Interpretation Questions on Logarithms

Find log\(_{5}\)(125) + log\(_{2}\)(1/16)

Log\(_{2}\)(x) + log\(_{2}\)(x-2) = 3

If log\(_{10}\)(5) = a and log\(_{10}\)(3) = b, express log\(_{10}\)(75) in terms of a & b.

If \( y = a + b \log_e x \) then which of the following is true?

If \( \log_{25}[5 \log_3 (1 + \log_3(1 + 2 \log_2 x))] = 1/2 \) then x is

Find the value of: $\log 87600+\log 23100-8 =\ ?$

Consider the equation, \(log_5(x-2) = 2log_{25}(2x-4)\) where x is a real number.
For how many different values of x does the given equation hold?

If (log10x = 3 ), what is the value of ( x ) ?

If \(log\ x = log\ 4.8 - log\ 1.6\) and \(log\ y = log\ 4.6 - log\ 2.3\). Find \(x+y\).

What is the value of \( \log 8 / \log 64 \)?

If \(\log_{10} 11 = a\) then \(\log_{10} \left(\frac{1}{110}\right)\) is equal to?

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?

If \(\frac 12 \ log\ x+\frac 12\ log\ y+log\ 2=log(x+y)\), then

\(log_5 25+log_2 (log_3 81)\) is

Find the value of \(\log_{3{^2}}5^4\times\log_{5{^2}}3^4\)

What is the value of x in the following expression?
\(x+\log_{10}(1+2^x)=x\log_{10}5+\log_{10}6\)

What is the value of \(\frac{\log_{27}\times\log_{16}64}{\log_4 \sqrt2}\) ?

Find the value of log₁₀10+log10²+log10 10ⁿ

Consider the following piecewise definition of the function f.
\(f(x) =   \begin{cases}   3-x,\,\,\,if & \quad x≤0\\     x^2 +2,\,if & \quad x≥0  \end{cases}\)
Evaluate f(-3).

Let f(x) = 4(x2+x), g(x)= √x+1, h(x) = g(f(x)). Find the domain and range of h(x).