Помогите решить примеры !!!. Created by Vika1VIP. algebra-ru

ОТВЕТ: в)ОТВЕТ: б)ОТВЕТ: б)

Помогите решить примеры !!!...

AntVa
$1) \: \: log_{ \frac{1}{3} }(81) = log_{ {3}^{ - 1} }( {3}^{4} ) = - 4 log_{3}(3) = - 4 \\$

ОТВЕТ: в)

$2) \: \: log_{27}(3) = log_{ {3}^{3} }(3) = \frac{1}{3} log_{3}(3) = \frac{1}{3} \\$

ОТВЕТ: б)

$3) \: \: log_{4}( log_{3}(81) ) = log_{4}(4) = 1 \\$

ОТВЕТ: б)

0 votes Thanks 1

Mihail001192

Verified answer

1) $log_\frac{1}{3}81=log_\frac{1}{3}\frac{1}{3}^{-4}=-4*log_\frac{1}{3}\frac{1}{3}=-4;$

2) $log_{27}3=log_{27}27^\frac{1}{3}=\frac{1}{3}log_{27}27=\frac{1}{3}$

3)log₄log₃81=log₄4=1;

1 votes Thanks 1

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