Answer: No solution ∅
Step-by-step explanation:
[tex]64^{x+1}=32^{\frac{6}{5} x}[/tex]
Write the expression in exponential form with the base of 2
[tex]2^{6x+6}=32^{\frac{6}{5} x}[/tex]
[tex]2^{6x+6}=2^{6x}[/tex]
Since the bases are the same, set the exponents equal
[tex]6x + 6 = 6x[/tex]
Cancel equal terms on both sides of the equation
[tex]6=0[/tex]
The statement is false for any value of x
∅
