Question

expand log 385 base 10

Answer 1

How to expand log how how

Answer 2

Answer:

Expanded form is $\log_{10}5+\log_{10}7+\log_{10}11$

Step-by-step explanation:

We are given an expression of log

$\log_{10}385$

First we factor 385 and then apply log property

Product rule of log

$\log_{m}ab=\log_ma+\log_mb$

Factor of 385 = 5x7x11

$\Rightarrow \log_{10}(5\cdot 7\cdot 11)$

$\Rightarrow \log_{10}5+\log_{10}7+\log_{10}11$

Expanded form of $\log_{10}385\text{ is }\log_{10}5+\log_{10}7+\log_{10}11$

Thus, Expanded form is $\log_{10}5+\log_{10}7+\log_{10}11$