Question

solve the equation (√3)^x = 3^8​

Answer 1

The answer will be 16.

★Used property of log in both side.

${ \sqrt{3} }^{x} = {3}^{8} \\ {3}^{ \frac{x}{2} } = {3}^{8} \\ log {3}^{ \frac{x}{2} } = log {3}^{8} \\ \frac{x}{2} log3 = log8 \\ \frac{x}{2} = 8 \\ x = 8 \times 2 = 16$

#answerwithquality

#BAL

Answer 2

• $\sqrt{3x \: \: \sqrt{6541} }$