3-log(x+2)=5

2 answers

Looking at laws of log:
log(a+b)

3- log x + log 2 = 5
3- log x + .30103 = 5
Combining like terms, and moving log to the other side so we can stay positive

3- log x + .30103 = 5
+ log x -5
3+.30103-5 = log x

you can continue doing this and isolate x by using the antilog.
log(a+b) is NOT log a + log b
log(ab) = log a + log b

3-log(x+2)=5
log(x+2) = -2
assuming base 10,
x+2 = 1/100
x = 1/100 - 2 = -1.99