Question

Solve for x; 3^(x+1)=27 x 3^4

Answer 1

${3}^{x + 1} = 27 \times {3}^{4} \\ \\ = > {3}^{x + 1} = {3}^{3} \times {3}^{4} \\ \\ = > {3}^{x + 1} = {3}^{3 +4} \\ \\ = > {3}^{x + 1} = {3}^{7} \\ \\ = > x + 1 = 7 \\ \\ = > x = 7 - 1 \\ \\ \: \: \: \: = 6$

so, x = 6

Answer 2

Answer:

6

Step-by-step explanation:

3 ^(x+1)=27×3^4

3^x ×3^1=27×81

3^x×3=2187

3^x=2187÷3

3^x=729

3^x=3^6

x=6