Find the value of x such that

civilnogwu

civilnogwu

Answered question

2022-07-08

Find the value of x such that 2 x = 10

Answer & Explanation

Immanuel Glenn

Immanuel Glenn

Beginner2022-07-09Added 12 answers

We know,
log 10 10 = 1
But
log 10 10 = log 10 ( 2 5 ) = log 10 2 + log 10 5
log 10 2 = 1 log 10 5 = 1 0.7 = 0.3
Now taking logarithm on the given equation
x log 10 2 = log 10 10 = 1
as log a ( b m ) = m log a b
delirija7z

delirija7z

Beginner2022-07-10Added 5 answers

2 x = 10 / log 10
log 10 2 x = log 10 10
x log 10 2 = 1
x = 1 log 10 2 = 1 log 10 10 5 = 1 log 10 10 log 10 5 = 1 1 log 10 5 = 1 1 0.7 = 1 0.3 = 1 3 10 = 10 3
x = 10 3

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