All Questions: Logarithms with Bases 10 and e
Theory
MCQ
01.
Theory 6 Marks
Logarithms with Bases 10 and e, Logarithms

Write an equivalent exponential statement for:
a. $\log_4 16 = 2$
b. $\log_2 \sqrt{8} = 1.5$
c. $\log_5 25 = 2$

02.
Theory 5 Marks
Logarithms with Bases 10 and e

If $y = \log_4 \sqrt{3 - x}$, write $x$ in terms of $y$.

03.
Theory 6 Marks
Logarithms with Bases 10 and e

Solve for $y$:
a. $\log_3 y = 4$
b. $\log_7 y = \frac{1}{3}$
c. $\log_2 y = -2$

04.
Theory 6 Marks
Logarithms with Bases 10 and e, Logarithms

Simplify:
a. $\log_y (y^3)$
b. $\log_m \left(\frac{1}{m}\right)$
c. $\log_y \sqrt{y}$