Question

5^(x-3)-5^(x-4)=16*5^(x-5)+4

Answer 1

5^(x-3)-5^(x-4)-16*5^(x-5)=4
5^x(5⁻³-5⁻⁴-5⁻⁵*16)=4
5^x(1/5³-1/5⁴-16/5⁵)=4
5^x*4/5⁵=4
5^x=4*5⁵/4
5^x=5⁵
т.к. 5=5,
то х=5