Ответ:
1) x = 4
2) x = 2 1/4
3) x = 1,5
Объяснение:
==============
1) 3^x-2 = 9
3^x-2 = 3^2
x - 2 = 2
x = 2 + 2
x = 4
-----------------------
2) 2^3x - 5 = 2^4 - x
3x - 5 = 4 - x
3x + x = 4 + 5
4x = 9
x = 9/4
x = 2 1/4
3) 4^x = 8
(2^2)^x = 2^3
2^2x = 2^3
2x = 3
x = 3/2
x = 1,5
1)
3^(х - 2) = 9
3^(х - 2) = 3²
х - 2 = 2
х = 2 + 2
х = 4
2)
2^(3х - 5) = 2^(4 - х)
3х - 5 = 4 - х
3х + х = 4 + 5
4х = 9
х = 9 : 4
х = 2,25
3)
4^х = 8
2^2х = 2³
2х = 3
х = 3 : 2
х = 1,5
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Answers & Comments
Ответ:
1) x = 4
2) x = 2 1/4
3) x = 1,5
Объяснение:
==============
1) 3^x-2 = 9
3^x-2 = 3^2
x - 2 = 2
x = 2 + 2
x = 4
-----------------------
2) 2^3x - 5 = 2^4 - x
3x - 5 = 4 - x
3x + x = 4 + 5
4x = 9
x = 9/4
x = 2 1/4
-----------------------
3) 4^x = 8
(2^2)^x = 2^3
2^2x = 2^3
2x = 3
x = 3/2
x = 1,5
==============
Объяснение:
1)
3^(х - 2) = 9
3^(х - 2) = 3²
х - 2 = 2
х = 2 + 2
х = 4
2)
2^(3х - 5) = 2^(4 - х)
3х - 5 = 4 - х
3х + х = 4 + 5
4х = 9
х = 9 : 4
х = 2,25
3)
4^х = 8
2^2х = 2³
2х = 3
х = 3 : 2
х = 1,5