Question

find log⁵ 125 tell the answer. and explain it​

Answer 1

log5(125)=3

Step-by-step explanation:

Given : Expression Log(125) with base 5

To find : The value of the expression ?

Solution :

Let the expression be equate to x,

x=\log_5(125)x=log5(125)

Applying logarithmic property,

\log_b(x)=y \Rightarrow b^y=xlogb(x)=y⇒by=x

5^x=1255x=125

5^x=5^35x=53

Since the bases are the same, the two expressions are only equal if the exponents are also equal.

x=3x=3

Therefore, \log_5(125)=3log5(125)=3

Step-by-step explanation:

hope it will help

Answer 2

Step-by-step explanation:

$\tt {log}_{5}{125} \\ \\ \tt \longrightarrow {log}_{5}{{5}^{3}} \\ \\ \tt \longrightarrow 3 {log}_{5}{5} \\ \\ \tt \longrightarrow 3 \\ \\ \boxed{\bold{\underline{\red{\tt {log}_{5}{125} = 3 }}}}$