Question

6^4x+1=(216)^x+1 please give the answer​

Answer 1

Answer:

x = 2

Step-by-step explanation:

$\bold({6)^{4x+1}=(216)^{x+1}}$

$\bold({6)^{4x+1}=(6^{3} )^{x+1}}$

$\bold({6)^{4x+1}=6^{3(x+1)} }$

$\bold({6)^{4x+1}=(6)^{3x+3} }$

$\therefore \: \: 4x + 1 = 3x + 3$

$4x - 3x = 3 - 1$

$x = 2$

Now, having x = 2 values,

$\bold({6)^{4 \times 2+1}=(216)^{2+1}}$

$\bold({6)^{8+1}=(216)^{2+1}}$

${(6)}^{9} = {(216)}^{3}$

$10077696 = 10077696$

I hope it is helpful for you