Question

Answer 1

\(2^x+2^x\cdot2=4^{15}\cdot3\)

\(\Rightarrow2^x\cdot\left(1+2\right)=\left(2^2\right)^{15}\cdot3\)

\(\Rightarrow2^x\cdot3=2^{30}\cdot3\)

\(\Rightarrow2^x=2^{30}\)

\(\Rightarrow x=30\)

Answer 2

`2^x+2^x . 2=4^15:3`

`=>2^x(1+2)=4^15:3`

`=>2^x . 3=4^15:3`

`=>2^x=4^15:3:3`

`=>2^x=4^15:(3:3)`

`=>2^x=4^15:1`

`=>2^x=4^15`

`=>2^x=(2^2)^15`

`=>2^x=2^30`

`=>x=30`