2) log3(2x-3) = 5This can be rewritten in exponential form as:3^5 = 2x-3243 = 2x-32x = 246x = 123
3) log3(x-2) > log3 9This can be simplified to:x-2 > 9x > 11
4) log1/3(5-2x) > -2This can be rewritten as:(5-2x) < 1/95-2x < 1/92x > 5 - 1/92x > 44/9x > 22/9 or x > 2.44
2) log3(2x-3) = 5
This can be rewritten in exponential form as:
3^5 = 2x-3
243 = 2x-3
2x = 246
x = 123
3) log3(x-2) > log3 9
This can be simplified to:
x-2 > 9
x > 11
4) log1/3(5-2x) > -2
This can be rewritten as:
(5-2x) < 1/9
5-2x < 1/9
2x > 5 - 1/9
2x > 44/9
x > 22/9 or x > 2.44