Question

find the value of log 49 to the base 343

Answer 1

Answer:

2/3

Step-by-step explanation:

log 7^2 base 7^3

2/3 x log7 base7

2/3 x 1

=2/3

Answer 2

Given : The logarithmic term is, log 49 to the base 343

To find : The value of the given logarithmic term.

Solution :

We can simply solve this mathematical problem by using the following mathematical process. (our goal is to calculate the value of the given logarithmic term)

Here, we will be using the general formula of logarithm.

So,

$= log_{343}(49)$

$= log_{ {(7)}^{3} } {(7)}^{2}$

$= \frac{2}{3} \times log_{7}(7)$

$= \frac{2}{3} \times 1$

$= \frac{2}{3}$

(This will be considered as the final result.)

Used formula :

• $log_{ {(b)}^{y} }({a)}^{x} = \frac{x}{y} \times log_{ b }({a)}$
• $log_{b}(b) = 1$

Hence, the value of log 49 to the base 343 is ⅔