Question

write log10-2log3-log2 expression as log N and find their values

Answer 1

The expression for the given log sequence is ${log \frac{5}{9}$.

Explanation:

We are given an expression in form of logarithm solving the below given expression in form of log N.

log 10 - 2log 3 - log2  

we know that in case of logarithm if a term is raised to a power and logarithm of the term is needed.

Then the power comes in front of log, Hence doing the reverse in this equation we get ,

Log 10 - log $3^2$ -log 2

⇒ log 10 -log 9 - log 2

Now we also know that logarithm has a negative sign.

Then the terms are divided by each of them. Hence the expression now becomes log {10 ÷ 9  ÷ 2} ⇒ ${log \frac{5}{9}$.

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