Question

3^x+3-3^x+2=486, then find x​

Answer 1

${3}^{x + 3} - {3}^{x + 2} = 486$

${ 3}^{x} \times {3}^{3} - {3}^{x} \times {3}^{2} = 486$

${3}^{x} ( {3}^{3} - {3}^{2} ) = 486$

${3}^{x} (27 - 9)$

${3}^{x} (18) = 486$

${3}^{x} = \frac{486}{18}$

${3}^{x} = 27$

${3}^{x} = {3}^{3}$

$x = 3$

Answer 2

Answer:

486

Step-by-step explanation:

Solution for 3^(x+3)-3^(x+2)=486 equation:

3^(x+3)-3^(x+2)=486

We move all terms to the left:

3^(x+3)-3^(x+2)-(486)=0

We move all terms containing x to the left, all other terms to the right

3^(x+3)-3^(x+2)=486