Question

Решите показательное уравнение.

Answer 1

81 • ( V 10 + 3 )^ (5x - 61 ) = ( 3 / ( V 10 - 3 )^ ( 5x - 61 )
( 3 / ( V 10 )^2 - 3^2 ) ^ ( 5x - 61 )  = 81
( 3 / ( 10 - 9 )) ^ ( 5x - 61 ) = 81
3 ^ ( 5x - 61 ) = 81
3 ^ ( 5x - 61 ) = 3 ^ 4
5х - 61 = 4
5х = 65
Х = 13

Answer 2

√10+3=1/(√10-3)
3^4*(√10+3)^(5x-61)=3^(5x-61)*(√10+3)^(5x-61)
(√10+3)^(5x-61)*(1-3^(5x-61))=0
3^(5x-61)=3^4
5x-61=4
5x=65
x=13