Question

Value of Log(125) with base 5

Answer 1

Hi... Here is your answer....

$log_{5}(125) = log_{5}( {5}^{3} ) \\ \\ = 3 log_{5}(5) \\ \\ = 3 \times 1 =3$

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Answer 2

Answer:

$\log_5(125)=3$

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,

$x=\log_5(125)$

Applying logarithmic property,

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

$5^x=125$

$5^x=5^3$

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

$x=3$

Therefore, $\log_5(125)=3$