Question

Logarithms
Please do not answer with a link, not only can I not access it (nor would I be comfortable doing so) but the answer will be immediately deleted.

Answer 1

Answer:

$\huge\boxed{\sf -2.280}$

Step-by-step explanation:

Finding value of log₃(4/49):

$\displaystyle = log_{3}\frac{4}{49} \\\\= log_{3} (\frac{4}{7^2} )\\\\\underline{Using \ log \ rule \ :} \ log( \frac{a}{b} )= log \ a - log \ b \\\\= log_{3}4 - log_{3}7^2\\\\\underline{Using \ log \ rule \ : } \ log \ a ^m = m \ log \ a \\\\= log_{3}4 - 2(log_{3}7)$

Given that:

log₃4 ≈ 1.262, log₃7 ≈ 1.771

Put the values in the above expression

$= 1.262-2(1.771)\\\\= 1.262 - 3.542\\\\= \bold{-2.280}\\\\\rule[225]{225}{2}$