Question

2^x * 3^y * 5^z = 180
( find the value of x,y and z)
chapter- indices​

Answer 1

2

x

×3

y

×5

z

=2160,

2160=2×2×2×2×3×3×3×5

2160=2

4

×3

3

×5

1

by comparision, we get,

x=4,y=3,z=1

3

x

×2

−y

×5

−z

=3

4

×2

−3

×5

−1

=

2

3

×5

3

4

=

40

81