Question

Given log43=0.792 and log421=2.196,what is log47?

Answer 1

Answer:

1.404

Step-by-step explanation:

Using the rule of logarithms

log x - log y ⇔ log($\frac{x}{y}$ )

Hence

$log_{4}$ 21 - $log_{4}$ 3 = $log_{4}$($\frac{21}{3}$ = $log_{4}$ 7

Thus

$log_{4}$ 7 = 2.196 - 0.792 = 1.404