How do you solve Log 2 + log(4x – 1) = 3?

2 Answers
Mar 18, 2018

log2 +log(4x-1)=3

Or, log(2×(4x-1))=3log10=log 10^3

Or, 8x-2=1000

So, 8x=1002

Or, x=125.25

Mar 18, 2018

x=125.25

Explanation:

the logs can be combined using the rule:
loga+logb=logab
so

log(2(4x-1))=3
log(8x-2)=3

to get rid of the log, we put both sides to the power of ten
10^(log(8x-2))=10^3

the ten and the log cancel out, leaving
8x-2=1000
8x=1002
x=125.25