Question

find log 3 under root 2

Answer 1

Answer:

The value oflog(3√2) 324 is "4".

Step-by-step explanation:

Let x = log (3√2) 324

(1)

To find, the value of log(32) 324 = ?

324 2 × 2 × 3×3×3×3

= 2² x 3⁴

√2⁴ x 3⁴

= (3√2)

Now, equation (1) becomes

x = log(3√2)(3√2)

= 4 log(3√2)(3√2)

= 4

[ log, a = 1]

Hence, the value of log(3√2) 324 is "4"