# Type-1-Problems on Logarithm (Videos)

SN Problem Solution video Solution Image
0

Logarithm is inverse function of Exponent. So the power can be expressed in two ways

1. Exponential Form

2. Logarithmic form.

1

## Find Value without using calculator $\dpi{100} \fn_cm {\color{Red} \log_2 32}$

2

Find the value without using calculator

$\dpi{100} \large {\color{Red} log_{10} 1000}$

3

Find value without using calculator $\dpi{100} \large {\color{Red} log_{5} 0.04}$

4

Find the value without using calculator $\dpi{100} \large {\color{Red} log_{4} 0.25}$

5

Find value without using calculator ${\color{Red} log_{3\sqrt{2}} 18 }$

6

Find value without using calculator ${\color{Red} log_3 243}$

7

Solve the equation for x  ... ${\color{Red}\log _{2} (7x+2) = 3}$

8

Solve for x....${\color{Red} \log_5 {(4x+11)} =2}$

9

## Rules of logarithm

10

Solve using rules of logarithm

$\dpi{100} \large {\color{Red} \log{(\frac{225}{32})} - \log{(\frac{25}{81})} + \log{(\frac{64}{729})}}$

11

Simplify using rules of logarithm $\dpi{100} \large {\color{Red} 2 \log \frac{6}{7} +\frac{1}{2} \log \frac{81}{16} -\log \frac{27}{196}}$