Question

Find the value of :

`\sf log_(3 √(2) )(324)`
​

Answer 1

4

Explanation:

Is that a log with the base of 3√(2) ?

If so....my calculator says the answer is 4

Let's see if we can do it w/ou the calculator:

3 sqrt(2)^x = 324 = 3^4 * 2^2 Now 'LOG' both sides:

x log (3 sqrt 2) = log (3^4 *2^2) = 4 log ( 3 * 2^(2/4)) = 4 log (3 sqrt2)

now divide both sides by log (3 sqrt2 )

x = 4 (If I did the math correctly ! )