Question

Solve The Equation.

Log(x+7)-Logx=3
A.)3.5
B.)142.7
C.)0.0070
D.)0.0707

Answer 1

Rule of logs:\[\Large\rm \log(a)-\log(b)=\log\left(\frac{a}{b}\right)\]

Answer 2

Applying this rule gives us:\[\Large\rm \log\left(\frac{x+7}{x}\right)=3\]

Answer 3

From here, you want to convert this to exponential form.
Do you know how to do that?

Answer 4

Kinda.

Answer 5

You can `exponentiate` each side,
which is a kind of a weird process if you haven't done it before.
Let's look at my silly rule for converting from log to exponent form:

Answer 6

Okkie Dokkie. :)