Question

explain this by method​

Answer 1

Step-by-step explanation:

27^x = 9÷(3^x)

So (3^3)^x = (3^2)÷(3^x)

So 3^3x = 3^(2-x)

Comparing powers on both sides,

3x = 2 - x

So, 4x = 2

So, x = 1/2

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Answer 2

Step-by-step explanation:

${27}^{x} = 9 \div {3}^{x}$

$27 = {3}^{3}$

$9 = {3}^{2}$

therefore

${3}^{3} \times {3}^{x} = {3}^{2} \div {3}^{x}$

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

same base so...

• 3 + x = 2 - x
• 2x = 2-3
• 2x = -1
• x = -1/2