Question

Please help me with this

Answer 1

a) 10

b) 2.5

Explanation:

2^n = 1024

2^n = 2^10

n = 10

4^(2n-3) = 16

4^(2n-3) = 4^2

2n-3 = 2

2n = 5

n = 2.5

Answer 2

Solution:-1:-

`\\ \sf\longmapsto 2^n=1024`

• Equal the bases

`\\ \sf\longmapsto 2^n=2^10`

`\\ \sf\longmapsto n=10`

Solution:-2:-

`\\ \sf\longmapsto 4^(2n-3)=16`

`\\ \sf\longmapsto 4^(2n-3)=4^2`

`\\ \sf\longmapsto 2n-3=2`

`\\ \sf\longmapsto 2n=2+3`

`\\ \sf\longmapsto 2n=5`

`\\ \sf\longmapsto n=(5)/(2)`

`\\ \sf\longmapsto n=2.5`