2) 2 * 3ˣ + 3ˣ⁺¹ = 45
2 * 3ˣ + 3ˣ * 3 = 45
5 * 3ˣ = 45
3ˣ = 9
3ˣ = 3²
x=2
[tex]MNPQ~paralelogram~\ \textless \ =\ \textgreater \ \left \{ {{x_{M}+ x_{Q}= x_{N} + x_{P} } \atop {y_{M} +y _{Q} =y_{N} +y_{P} }} \right. \\ \\ \left \{ {{ x_{Q} = x _{N} + x_{P} - x_{M} } \atop {y_{Q} = y_{N} + y_{P} - y_{M} }} \right. \\ \\ \left \{ {{ x_{Q}=5+7-1 } \atop { y_{Q}=5+11-1 }} \right. \\ \\ \left \{ {{ x_{Q}=11 } \atop { y_{Q}=15 }} \right. \\ \\ Q(11,15)[/tex]
6) sin(90°-x) * cos x + cos(90°-x) * sin x = 1, ∀, x∈(0°, 90°)
sin (90°-x) * cos x + cos(90°-x) * sin x = 1
cos x * cos x + sin x * sin x = 1
cos²x + sin²x = 1
1=1 (adevarat)
