Logarithms MCQs with Answers

The value of $\ln 3$ is ?

• A.$1.0986$
• B.$0.4771$
• C.$2.3026$
• D.$0.6931$

Past Paper MCQ

If $\log_{10} 2 = 0.3010$, then $\log_2 10$ is equal to _?

• A.$\frac{1}{0.3010}$
• B.$\frac{301}{1000}$
• C.$3.322$
• D.$\frac{1000}{301}$

What is the derivative of $x^3 \ln(x)$ with respect to $x$?

• A.$3x^2 \ln(x) + x^2$
• B.$3x^2 \ln(x) - x^2$
• C.$x^3 \cdot \frac{1}{x} + 3x^2$
• D.$3x^2 \ln(x) + x^3$

What is the value of $\log_5(0)$?

• A.$0$
• B.$1$
• C.Undefined
• D.$-\infty$

Find $x$, if $\log_5 125 = x$.

• A.$2$
• B.$3$
• C.$5$
• D.$25$

If $\log_{10} x = 5$, then $x = ?$

• A.$\sqrt[5]{10}$
• B.$5^{10}$
• C.$10 \times 5$
• D.$10^5$

In logarithmic form, $y = a^2$ can be written as:

• A.$\log_2 a = y$
• B.$\log_y a = 2$
• C.$\log_a y = 2$
• D.$\log_a 2 = y$

The value of $\frac{\log 36}{\log 6}$ is:

• A.$\log 30$
• B.$6$
• C.$\log 6$
• D.$2$

Simplify: $\log 3 + \log 6 - \log 5 = ?$

• A.$\log 4$
• B.$\log \left(\frac{18}{5}\right)$
• C.$\log 14$
• D.$\log \left(\frac{9}{5}\right)$

What is the value of $\log 1$?

• A.Undefined
• B.$1$
• C.$-1$
• D.$0$