Please help me on this logarthim question Please

Question

anonymous · Answer

wait

anonymous · Answer

It will take a long time to type the question

anonymous · Answer

I will tell in bits ok?

anonymous · Answer

@satellite73  @SolomonZelman @PeterPan PLEASE HLP

solomonzelman · Answer

What ??? this is senseless.

solomonzelman · Answer

log base what ?

solomonzelman · Answer

recurring will just tell us that it is 1/3.

anonymous · Answer

there is a huge fraction after that yeah 1/3 is the base

solomonzelman · Answer

and it is log base of something... it can't be just log base... can it ?

anonymous · Answer

yes , well it would be a waste of time typing the whole fraction , thanks anyway though , i will ask my teacher

anonymous · Answer

$$\huge 81^{\log_{\frac13}M}$$

solomonzelman · Answer

All I can say so far is,
$\normalsize\color{blue}{ 81\log_{1/3}x\LARGE\color{white}{ \rm    │  }}$
$\normalsize\color{blue}{ \log_{1/3}x^{81}\LARGE\color{white}{ \rm    │  }}$

solomonzelman · Answer

calling it x, or M, whatever it is.......

anonymous · Answer

log is not multiplied to 81, 81 is RAISED to that log.

anonymous · Answer

I thought of writing 81 as 3^4 it would help

solomonzelman · Answer

ohh... true

anonymous · Answer

probably

anonymous · Answer

@No.name I have a better idea :)

solomonzelman · Answer

$\Huge\color{blue}{ 81^{^{\log_{1/3}x}}\LARGE\color{white}{ \rm    │  }}$

anonymous · Answer

change of base ?

anonymous · Answer

$$\Large 81 = \left(\frac13\right)^{-4}$$
And the it'll be readily solvable :D

solomonzelman · Answer

that's not the question though -:(

solomonzelman · Answer

although I do like playing with negative exponents.

anonymous · Answer

That's not the question, however, it will help answering the question... knowing this, there'd only be one or two steps left.

solomonzelman · Answer

:)

anonymous · Answer

Yeah ^

anonymous · Answer

So, @No.name you have your answer? :)

anonymous · Answer

I will do the rest of the simplifying after that what we would do i really forgot log proprties

anonymous · Answer

Awesome ^^

solomonzelman · Answer

Product of 2 numbers that are same, but not a perfect square and not a zero. What is it ?

anonymous · Answer

There are infinite such values what r u asking

solomonzelman · Answer

example

anonymous · Answer

-1

solomonzelman · Answer

negative numbers, fractions, anything else ?

anonymous · Answer

@PeterPan  after that what we would do

solomonzelman · Answer

ok nvm about my stupid game...

anonymous · Answer

|dw:1408364416568:dw|
It's okay