How do you solve log(4x+1)log(x3)=1?

1 Answer
Feb 26, 2017

Use the property loganlogam=loga(nm).

log(4x+1x3)=1

Recall that logx generally signifies a logarithm in base 10.

4x+1x3=101

4x+1=10(x3)

4x+1=10x30

31=6x

x=316

Verify to make sure this is not an extraneous solution.

Hopefully this helps!