Question

Find the value of :" title=" \sf log_{3 \sqrt{2} }(324) " alt=" \sf log_{3 \sqrt{2} }(324) " align="absmiddle" class="latex-formula">
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Answer 1

Answer:

4

Step-by-step 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 ! )