If a^x=y
Log(a)y=x
Using index laws to solve simple exponential equations
2^x=8
When solving exponential equations we must make the bases the same
2^x=2^3
x=3
Logxy=
assuming the base is the same at a
= logx + logy
Log x/y=
assuming the base is the same at a
Logx- Logy
N-rule
Logx^n=
(Assuming the base is a)
N Logx
Using log to solve exponential equations
Log10 both sides and use the n rule
Change of base
Log(a)x=
Log(b)x/Log(b)a