SOLUTION: CAN YOU PLS TELL ME HOW TO SOLVE LOG 0.3 to the base 9..?? The answer should be 1/2.

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Question 293221: CAN YOU PLS TELL ME HOW TO SOLVE LOG 0.3 to the base 9..??
The answer should be 1/2.

Found 2 solutions by josmiceli, Earlsdon:
Answer by josmiceli(19441)   (Show Source): You can put this solution on YOUR website!
The main thing to remember is: LOGS ARE EXPONENTS
The other main thing is:
You have to know how to read this:

First of all, it's telling you that is an exponent,
since it says "y = log(something)"
Then it tells you that when you raise the base to
the exponent , the result is
Putting all that together:

You can also express as

The rule for this is to multiply the exponents

You can solve this on a calculator, or
take the log to the base of both sides





-----------------
Actually,

and, as I showed,


Answer by Earlsdon(6294)   (Show Source): You can put this solution on YOUR website!
Rewrite this in exponential form:--->
Now take the common log (base = 10) of both sides.
Use you calculator to find these logs. First apply the power rule for logarithms to the left side.
Divide both sides by .
Use your calculator to find the logs.
... Rounded to...
This does not quite match your answer!

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