Oblicz Log6 4 + 3Log6 3 - Log6 3.... Question from @fabianwendt16

fabianwendt16 @fabianwendt16

March 2022 2 6 Report

Oblicz
Log6 4 + 3Log6 3 - Log6 3

123bodzio

Odpowiedź:

log₆4 + 3log₆3 - log₆3 = log₆( 4 * 3³ : 3) = log₆(4 * 9 ) = log₆36 = 2

1 votes Thanks 1

dominpiano

Korzystamy z własności logarytmów pamiętając o kolejności działań:

$log_6{4} +3log_63-log_63 \\log_6{4} +log_63^3-log_63\\log_6{4} +log_627-log_63\\log_6{(4*27)}-log_63\\log_6{108}-log_63\\log_6{\frac{108}{3}}\\log_636\\log_66^2\\2$

0 votes Thanks 0

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