Question

express X (iii) Prove that : log10125 = 3(1 - log102). 2m and​

Answer 1

Answer:

Step-by-step explanation:

We have,

$\tt{\log_{10}\,(125)}$

$\sf{=\log_{10}\,\bigg(\dfrac{1000}{8}\bigg)}$

$\sf{=\log_{10}\,(1000)-\log_{10}\,(8)}$

$\sf{=\log_{10}\,(10)^3-\log_{10}\,(2)^3}$

$\sf{=3\log_{10}\,(10)-3\log_{10}\,(2)}$

$\sf{=3\{\log_{10}\,(10)-\log_{10}\,(2)\}}$

$\sf{=3\{1-\log_{10}\,2\}}$