Question

Find the value of :

​

Answer 1

let log 125 to the base 25 =x

therefore,

25^x = 125

therefore, 5^2x = 5³

therefore,

2x = 3

so, x=3/2

therefore log 125 to the base 25 is 3/2.

Answer 2

$\huge\star\underbrace {\mathtt\purple {A}\mathtt\purple {n}\mathtt\purple {s}\mathtt\purple {w}\mathtt\purple {e}\mathtt\purple {r}}\star\:$

let log 125 to the base 25 =x

therefore,

25^x = 125

therefore,

5^2x = 5³

therefore,

2x = 3

so,

x=3/2

therefore log 125 to the base 25 is 3/2.