Question

value of log 25 base 5 - log 49 base 7

Answer 1

Answer:

× 1/2

Step-by-step explanation:

25 = 5

-5) 2.× = -5 1

2/2 × : 1/2 = × 1/2

Answer 2

Given :

The logarithmic expression is = (log 25 base 5 - log 49 base 7)

To find : The value of the given logarithmic expression.

Solution:

We can simply solve this mathematical problem by using the following mathematical process.

Now, the given logarithmic expression (in proper mathematical way of denoting) is :

$= log_{5}(25) - log_{7}(49)$

$= log_{5}( {5})^{2} - log_{7}( {7})^{2}$

$= 2 log_{5}(5) - 2 log_{7}(7)$

$= (2 \times 1) - (2 \times 1)$

$= 2 - 2$

$= 0$

(This will be considered as the final result.)

Used formulas :

• $log_{a} ({b})^{c} = c \times log_{a}(b)$
• $log_{a}(a) = 1$

Hence, the value will be 0