Math, asked by tarusmitamukherjee10, 14 hours ago

Solve: log 2 x +log 4 x + log 16 x = 21 4​

Answers

Answered by ndsharma843
0

Answer:

Correct option is

8

We know that log

a

n

N=

n

1

log

a

N.

Now,

log

2

x+log

4

x+log

16

x=

4

21

⇒log

2

x+log

2

2

x+log

2

4

x=

4

21

⇒log

2

x+

2

1

log

2

x+

4

1

log

2

x=

4

21

,

⇒(1+

2

1

+

4

1

)log

2

x=

4

21

4

7

log

2

x=

4

21

⇒log

2

x=3

Hence, x=2

3

=8

Step-by-step explanation:

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