Question

Solve the equation.
log(x + 7) – logx = 3

Answer 1

@satellite73 could you please help?

Answer 2

\[log(x + 7) – logx = 3 \]
\[log[ \frac{(x + 7)}{x} ] = 3 \]
\[\frac{x+7}{x} = 10^3 \]
Convert to exponential form:
\[\frac{x+7}{x} = 1000 \]
\[x+7 = 1000x\]
Solve for x

Answer 3

is it .0070???

Answer 4

x = 0.0070070

Answer 5

So yes.

Answer 6

thankyou so much!! could you help with another one please?

Answer 7

I am not that good with logarithms I just happen to know to use the rule:
\[\log_{b}\left(\frac{x}{y}\right) = \log_{b}(x) - \log_{b}(y)\]

Answer 8

alright! well thank you!

Answer 9

Np :)