Math, asked by adityadark14, 1 month ago

log4 (2log3 (1 + log2 (1 + 3log3 x))) = 1 2 .

Answers

Answered by Mholya
3

Answer:

log

4

(2log

3

(1+log

2

(1+3log

3

x)))=

2

1

using the logarithm property :

log

b

a=k⇒a=b

k

∴2log

3

(1+log

2

(1+3log

3

x))=4

2

1

log

3

(1+log

2

(1+3log

3

x))=1

1+log

2

(1+3log

3

x)=3

1

log

2

(1+3log

3

x)=2

1+3log

3

x=2

2

3log

3

x=3

log

3

x=1

x=3

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