Question

已知，4乘以8的m次方乘以16的m次方=2的9次方，求m的值

Answer 1

4*8^m*16^m=2^2*2^(3m)*2^(4m)=2^(2+3m+4m)=2^9得出，m=1

Answer 2

解：4×8^m×16^m=2^9,2^2×(2^3) ^m×(2^4)^m=2^9,2^2×2^(3m)×2^(4m)=2^9,2^(2+3m+4m)=2^9,2+3m+4m=9,m=1.

Answer 3

望采纳，(*^__^*) 嘻嘻

4x2^Mx16^M=2^(M+2) x 2^4M=2^(5M+2)

5M+2=9
M=7/5