Question

Find the value of log2✓3(12)=

Answer 1

Answer:

Let log

2

3

1728=x

⟹1728=(2

3

)

x

⟹(1728=2

6

×3

3

=2

6

3

6

)

∴2

6

(

3

)

6

=(2

3

)

x

∴x=6

Answer 2

Answer:

2

Step-by-step explanation:

we know the property loga (b) can be written as logb/loga

so log2√3(12) is equal to log12/log2√3

log 12 = log 3*2*2 = log 3+log2+log2 = 2log2 + 3

becuase log ab = log a + log b

log 2√3 = log 2 + (1/2)log3

or (1/2)(2log2 + log 3)

so log12/ log2√3 = (2log2+3)/(1/2)(2log2+log3)

so ans is 2