Question

find the value of log 5^125​

Answer 1

Explanation:

Answer:

\log_5(125)=3log

5

(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=log

5

(125)

Applying logarithmic property,

\log_b(x)=y \Rightarrow b^y=xlog

b

(x)=y⇒b

y

=x

5^x=1255

x

=125

5^x=5^35

x

=5

3

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)=3log

5

(125)=3

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