2^( 2x - 3 ) = 128
2^( 2x - 3 ) = 2^7
2x - 3 = 7
2x = 10
x = 5
Answer:
Step-by-step explanation:
[tex]x^{2x-3} +52 = 180\\x^{2x-3} = 180 -52\\x^{2x-3} = 128\\x^{2x-3} = 2^{7} \\2x-3=7\\2x=10\\x=10/5\\x=5[/tex]