Answer:
26/7 =x
Step-by-step explanation:
32^(x +4) = 64^(2x–1)
Rewrite each as a power of 2
32 = 2^5 and 64 = 2^6
2^5^(x +4) = 2^6^(2x–1)
We know a^b^c = a^(b*c)
2^(5*(x +4)) = 2^(6*(2x–1))
The bases are the same so the exponents are the same
5*(x +4) = 6*(2x–1)
Distribute
5x +20 = 12x -6
Subtract 5x
20 = 7x -6
Add 6 to each side
26 = 7x
Divide by 7
26/7 =x
