Rewrite the given equation without logarithms. Do not solve for x. log(x+14)=log x +log 14

Answer 1

x+14 = 14x

or

13x = 14

x=14/13

logx + log14 = log14x = log(x+14)

loga+ logb = logab

log(14)(14/13)) =log(196/13) = log(15.08) = 2.71

log(14/13+14) = 2.71

using log as base e,

but it works for the log of any base

base 10:

log(14)(14/13) = 1.18

log(14/13 + 14) = 1.18

14(14/13) = 14/13 + 14

196/13 = (182+14)/13

15.08 = 15.08