Unknown in logarithm base \(\displaystyle\frac{{122312}}{{100000}}={\left({1}+{t}\right)}^{{5}}\) I am new

Kendal Day

Kendal Day

Answered question

2022-04-10

Unknown in logarithm base 122312100000=(1+t)5
I am new to exponents and logarithms, and have been stuck with this for a quite long time.
The problem is:
122312100000=(1+t)5
or
log1+t122312100000=5
I have no idea, how to solve this. Hints or tips would be very very welcomed.
Thank You (a lot) in advance!(also apologies for my poor english)

Answer & Explanation

folytonr4qx

folytonr4qx

Beginner2022-04-11Added 14 answers

Why are you taking the logarithm? I think you should compute the fifth root of 122312100000 and then subtract 1 from it to get t.
You can use the log table to compute the fifth root of 122312100000. (Assuming you know how to use it) Let
n=(122312100000)15
then take log on both sides to get
log10(n)=15log10(1.22312)
First compute log10(n) and then using the antilog tables, compute n. Then, since
t+1=n,t=n1

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?