Question

Solve the logarithmic equation.
log(x + 9) - logx = 3

Answer 1

x+9/x=1000
1+9/x=1000
x=1/111

Answer 2

\[\log(x+9)-logx=\log_{10}\frac{x+9}{x}=3\]

Answer 3

\[\frac{x+9}x=10^3\]\[1+\frac9x=1000\]\[\frac9x=999\]\[x=\frac{9}{999}=\frac1{111}\]

Answer 4

if base of logarithm is 10,

log(x + 9) - logx = 3
log(1 +9/x) = 3
1+9/x =1000
9/x=999
x=1/111