Solve 5.4^x+1 - 16^x = 64
help me to find the value of x pls
help me to find the value of x pls
5.4x + 1 - 16x = 64
or, 5.4x.4 - 42x = 64
Let 4x = a
or, 20a - a2 = 64
or, a2 - 20a + 64 = 0
or, a2 - (16 + 4)a + 64 = 0
or, a2 - 16a - 4a + 64 = 0
or, a(a - 16) -4(a - 16) = 0
or, (a - 16)(a - 4) = 0
Either, a = 16
so, 4x = 42
so, x = 2
OR, a = 4
so, 4x = 4
so, x = 1
Hence, x = 1, 2