Question

Log^3 base =0.4771 then log ^1/3 base 10 is equals to

Answer 1

$\underline{\textbf{Given:}}$

$\mathsf{log_{\,10}3=0.4771}$

$\underline{\textbf{To find:}}$

$\mathsf{The\;value\;of\;log_{\,10}\left(\dfrac{1}{3}\right)}$

$\underline{\textbf{Solution:}}$

$\underline{\textbf{Concept used:}}$

$\mathsf{*\;\;log_{\,a}\left(\dfrac{M}{N}\right)=log_{\,a}M-log_{\,a}N}$

$\mathsf{*\;\;log_{\,a}1=0}$

$\mathsf{Consider,}$

$\mathsf{log_{\,10}\left(\dfrac{1}{3}\right)}$

$\mathsf{=log_{\,10}1-log_{\,10}3}$

$\mathsf{=0-0.4771}$

$\mathsf{=-0.4771}$

$\implies\boxed{\mathsf{\left(\dfrac{1}{3}\right)=-0.4771}}$

$\underline{\textbf{Find more:}}$

Expand log 243 to the base 3 root 3

https://brainly.in/question/4637472  

The value of log 0.001 to the base 0.1 is

https://brainly.in/question/5318106