"What does x equal if log⁡(7x)=2?" was answered by students like you

Urdorfs4u

Answered question

2022-02-06

What does x equal if

\log (7 x) = 2

Amubbemibren3k

Beginner2022-02-07Added 10 answers

Step 1

\log 7 x = 2

But

2 = \log 100

(because

10^{2} = 100

) hence

\log 7 x = \log 100

By inyectivity of log function we can say that

7 x = 100

x = \frac{100}{7}

This a valid solution because

\log (7 \times \frac{100}{7}) = \log 100 = 2

sigcinweq0s

Beginner2022-02-08Added 19 answers

Step 1
We have

\log_{10} (7 x) = 2

which can be rewritten as

10^{2} = 7 x

\Rightarrow 100 = 7 x

Dividing both sides by 7, we get

x = \frac{100}{7}

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