What does x equal if \log(7x)=2?

Urdorfs4u

Urdorfs4u

Answered question

2022-02-06

What does x equal if log(7x)=2?

Answer & Explanation

Amubbemibren3k

Amubbemibren3k

Beginner2022-02-07Added 10 answers

Step 1
log7x=2
But 2=log100 (because 102=100) hence
log7x=log100
By inyectivity of log function we can say that 7x=100
x=1007
This a valid solution because log(7×1007)=log100=2
sigcinweq0s

sigcinweq0s

Beginner2022-02-08Added 19 answers

Step 1
We have log10(7x)=2
which can be rewritten as
102=7x
100=7x
Dividing both sides by 7, we get
x=1007

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