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EVILVIT
@EVILVIT
July 2022
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Помогитие пожалуйста. Нужно с решением
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математик2011
1.
20⁻⁴⁾⁸*5⁶⁾⁸:4⁻⁵⁾⁸ = 4⁻⁴⁾⁸*5⁻⁴⁾⁸*5⁶⁾⁸:4⁻⁵⁾⁸ = 4⁻⁴⁾⁸⁻⁽⁻⁵⁾⁸⁾*5⁻⁴⁾⁸⁺⁶⁾⁸ = 4¹*5² = 4*25 = 100
2.
log₆234 - log₆6,5 + log₁₆log₃9 = log₆(234:6,5)+log₁₆2 = log₆36+1/4 = 2+1/4 = 2 1/4 = 2,25
3.
log₅(x+3) = log₅(6x-17)
ОДЗ:
х+3>0 6x-17>0
x> -3 x> -2 5/6
x+3 = 6x - 17
5x = 20
x = 4
2 votes
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Answers & Comments
20⁻⁴⁾⁸*5⁶⁾⁸:4⁻⁵⁾⁸ = 4⁻⁴⁾⁸*5⁻⁴⁾⁸*5⁶⁾⁸:4⁻⁵⁾⁸ = 4⁻⁴⁾⁸⁻⁽⁻⁵⁾⁸⁾*5⁻⁴⁾⁸⁺⁶⁾⁸ = 4¹*5² = 4*25 = 100
2.
log₆234 - log₆6,5 + log₁₆log₃9 = log₆(234:6,5)+log₁₆2 = log₆36+1/4 = 2+1/4 = 2 1/4 = 2,25
3.
log₅(x+3) = log₅(6x-17)
ОДЗ:
х+3>0 6x-17>0
x> -3 x> -2 5/6
x+3 = 6x - 17
5x = 20
x = 4