Question

При каком значение верно равенство?
1. )5^x·5^6=5^24;
2)(3 ^m)^x=3^5m
3))2^x·2^m=2^6m
4)(4^x)^3m=4^6m^2,где m-натуральное число ?

Answer 1

N 1
5^x • 5^6 = 5^24
5^( Х + 6 ) = 5^24
Х + 6 = 24
Х = 18
N 2
( 3 ^ m )^x = 3^5m
3 ^ mx = 3^5m
X = 5
N 3
2^x • 2^m = 2 ^ 6m
2 ^ ( X + m ) = 2 ^ 6m
X + m = 6m
X = 5m
N 4
( 4^x)^3m = 4^6m^2
4^3xm = 4^6m^2
3xm = 6m^2
xm = 2m^2
x = 2m