Question

Root 3 27^4 = 243^y
What is the value of y?

Answer 1

Answer:

$\sqrt{3} \times {27}^{4} = {243}^{y}$

→ 27 = 3³ & 243 = 3⁵

Substitute in equation.

Then you get,

${(3)}^{ \frac{1}{2}} \times {3}^{12} = {3}^{5y}$

${3}^{ ( \frac{1}{2} + 12) } = {3}^{5y}$

$\frac{25}{2} = 5y$

$y = \frac{5}{2}$