Question

if log4 3 ≈ 0.7925, evaluate log4 1/9

Answer 1

Answer:

$\large\boxed{\log_4\dfrac{1}{9}\approx-1.585}$

Step-by-step explanation:

$\text{Use}\\\\a^{-n}=\dfrac{1}{a^n}\\\\\log_ab^n=n\log_ab\\=============================\\\\\text{We have}\ \log_43\approx0.7925.\\\\\log_4\dfrac{1}{9}=\log_4\dfrac{1}{3^2}=\log_43^{-2}=-2\log_43\approx(-2)(0.7925)=-1.585$