Question

solve 2^6x=4^(5x+1)

Answer 1

i thought it was x=-2 but my teacher said it was x=-1

Answer 2

4^(5x+1)= 2^(2*(5x+1))
--> 2^6x= 2^(10x+2)---> 6x=10x+2 --> x=-2

Answer 3

Both your teacher and your answer is incorrect

Answer 4

\[\huge 2^{6x}=4^{(5x+1)} \\ \\\huge 2^{6x}=2^{2(5x+1)} \]
Since the bases are the same
\[6x=2(5x+1)\]
\[6x=10x+2 \\ \\ 4x=-2 \\ \\ x=-\frac{1}{2}\]