changing equation to logarithmic form and solving it

America Patton

America Patton

Answered question

2022-03-18

changing equation to logarithmic form and solving it
3x+1=3000
How do I solve this? I know we use logarithms but I do not remember how to solve this kind of problem. I am guessing that I need to change the problem into log form. but how?
log3(x+1)=3+log103
what do I do next?

Answer & Explanation

Konnor Davidson

Konnor Davidson

Beginner2022-03-19Added 4 answers

We interpret your question as asking about 3x+1=3000.If it is about 3x+1=3000 , rewrite as 3x=2999 and use the same procedure as the one below.
Take the logarithm of both sides, any base you like. I suggest base 10 or base e(n), because these are easiest to find with a scientific calculator.
We get
(x+1)log(3)=log(3000).
So
x+1=log(3000)log(3).
Calculate.
Note: We used the important fact that log(ab)=bloga

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