133k views
4 votes
Evaluate the following expression log3 9

Evaluate the following expression log3 9-example-1

2 Answers

3 votes

\bf \textit{Logarithm Cancellation Rules} \\\\ \boxed{log_a a^x = x}\qquad \qquad a^(log_a x)=x\\\\ -------------------------------\\\\ log_3(9)\qquad \qquad \underline{9=3^2}\qquad \qquad log_3(\underline{3^2})\implies 2
User Oscar Foley
by
7.7k points
3 votes

Answer: The solution for the given expression is 2.

Explanation:

We are given:

An expression having value:
\log_3 9

Using the identities:


\log_a x^n=n\log_a x ......(1)


\log_a a=1 ......(2)

Evaluating the expression:


\Rightarrow \log_3 9=\log _3 3^2

Using identity 1:


\Rightarrow \log _3 3^2=2\log_3 3

Using identity 2:


2\log_3 3=2* 1=2

Hence, the solution for the given expression is 2.

User Essam
by
8.5k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories