Question

Evaluate each expression.
1. 3log34 + log5 25

Answer 1

Is this \(3 \log_3 4 + \log_5 25\)?

Answer 2

Yes

Answer 3

OK...We want to look at a couple properties of logs:
\(\log_a b=y \rightarrow a^y = b\)
AND
\(n \log_a b =
log_a \left( b^n \right) \).
You can use each of these in your problem.

Answer 4

@deezyus: Please share with the rest of us what you already know about possible approaches to solving this problem. It's important that you be involved.

One suggestion: please double-check that you have copied this problem down correctly. I note that your expression has two logarithms, and that these logs have different bases (3 and 5). That makes more work for us: we need to use the change of base formula.

One last thing: some simple examples. There are 3 formulas commonly used with the product, quotient and power functions using logs. One is \[a*\log b=\log b^a\], which btaylor has already introduced. Thus, 2 log 3=log 3^2. Familiar with that?

Answer 5

I need help solving it

Answer 6

Another simple example: log a + log b = log a*b

Answer 7

At this point we need for you to explain what kind of help you need. btaylor and I have given you formulas; I've given you two relatively simple examples. How may I/we help you further?

Answer 8

I DONT KNOW HOW TO DO IT AT ALL

Answer 9

Do you have a textbook that shows examples, or at least some online reading materials with examples? Have you been to class where your teacher has discussed solving problems such as these?

Answer 10

Its a online class no teacher or book

Answer 11

No examples available in your online reading materials? Have you looked for and read such materials?

Answer 12

Further examples: log 2 + log 3 = log ( what? )

Answer 13

Rule: log a - log b = log (a/b) (division rule).

Example: log 6 - log 3 = log ( what? )

Answer 14

I have no accessible materials at all

Answer 15

Not even on the internet?

Answer 16

I got the following from http://www.mathwarehouse.com/logarithm/rules-and-formula.php

Answer 17

Now you have something for reference. These rules are the same as those I've typed out for you. Each rule comes with examples. What do you need to know now, to solve the problem given you?

Answer 18

Your no help :/