6^{х}+6^{х+1}=2^{х}+2^{х+1}+2^{х+2}

Question

6^{х}+6^{х+1}=2^{х}+2^{х+1}+2^{х+2}

Answer 1

6ˣ+ 6ˣ¹=2ˣ +2ˣ⁺¹ +2ˣ⁺²
6ˣ+6*6ˣ= 2ˣ +2*2ˣ +2²*2ˣ
6ˣ+6*6ˣ= 2ˣ +2*2ˣ +4*2ˣ

7*6ˣ= 7*2ˣ

6ˣ=2ˣ

6ˣ/2ˣ =1

3ˣ=1

3ˣ=3⁰

x=0