Question

вычислите!!!!!!!!!!!!!!!!!

Answer 1

Ответ:

3.

${25}^{ log_{5}(3) } + {49}^{ log_{7}(2) } = {5}^{2 log_{5}(3) } + {7}^{2 log_{7}(2) } = \\ = {5}^{ log_{5}( {3}^{2} ) } + {7}^{ log_{7}( {2}^{2} ) } = {3}^{2} + {2}^{2} = \\ = 9 + 4 = 13$

4.

$log_{2}( log_{2}( log_{3}(81) ) ) = log_{2}( log_{2}(4) ) = log_{2}(2) = 1$

5.

1)

$log_{4}(x) = - 3 \\ x = {4}^{ - 3} \\ x = \frac{1}{64}$

2)

$log_{x}(81) = 4 \\ 81 = {x}^{4} \\ {x}^{4} = 81 \\ x = \sqrt[4]{81} \\ x = 3$