find the value of log 5^125
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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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