Question

What is the value of log root 5 base 3 root 5

Answer 1

Answer:

Step-by-step explanation:

if you mean

log(√5)^3√5

=log(5^1/2)^3√5

=1.5√5log(5)

then use calculation

Answer 2

The value of $\dfrac{1}{3} \dfrac{\log 5}{\log 5}=0.333.$

Step-by-step explanation:

We have,

$\log _5({\sqrt[3]{5})$

To find, the vaue of $\log _5({\sqrt[3]{5})=?$

∴ $\log _5({\sqrt[3]{5})$

$=\dfrac{\log\sqrt[3]{5})}{\log 5}$

[ ∵ $\log _x(a)=\dfrac{\log a}{\log x}$]

$=\dfrac{(\log 5^{\dfrac{1}{3} } )}{\log 5}$

$=\dfrac{1}{3} \dfrac{\log 5}{\log 5}$

=$\dfrac{1}{3}$

=0.333

Hence, the value of $\dfrac{1}{3} \dfrac{\log 5}{\log 5}=0.333$.