I have a few questions concerning logarithms...

How can the properties of exponents help solve exponential equations?

How do you solve 81^y=18? I know that its the same as log81 (18)=y but I don't know how to solve.

Also I have logx-1 (8)=3

I really need explanations :/ I'm bad at math and this is so confusing.

Question

I have a few questions concerning logarithms...

How can the properties of exponents help solve exponential equations?

How do you solve 81^y=18? I know that its the same as log81 (18)=y but I don't know how to solve.

Also I have logx-1 (8)=3

I really need explanations :/ I'm bad at math and this is so confusing.

aravindg · Answer

81^y=18

Taking log on both sides

log 81^y= log 18

Now log a^n=n log a

ylog 81=log 18
y=log 18/log 81

Do you understand?

aravindg · Answer

A similar method can be used to solve  logx-1 (8)=3

jcmbourque19 · Answer

I think so

aravindg · Answer

Good :)