can someone help me with changing this logarithmic expression to exponential?

Question

lolokrat · Answer

$$\log_{3}(1/81)=-4$$

lolokrat · Answer

my prof told us the answer is x < 2 ????

lowkey · Answer

$$\log_{a}b=y  $$

lowkey · Answer

is equal to

snowflake0531 · Answer

$$\log_{a} b = x$$ is the same as $$a^x=b$$

lowkey · Answer

$$a^y=b$$

lowkey · Answer

So knowing this, can you try and create it into a correct form?

lolokrat · Answer

3^-4=1/81, but how would that equal x<2 ?

snowflake0531 · Answer

there's no "x" in the question
3^-4 = 1/81 is correct

lowkey · Answer

When a negative is in the exponent, the number becomes a fraction.

lolokrat · Answer

is my prof just tripping then

snowflake0531 · Answer

unless there's another part to your question

lowkey · Answer

yes

lolokrat · Answer

ok good i was going bonkers ...

lolokrat · Answer

no he literally gets so many questions wrong ... actually attending the lectures confuses me more than not going and figuring it out on my own

lolokrat · Answer

thank you guys

snowflake0531 · Answer

you're doing this in college?..

lolokrat · Answer

yes its just a basic entry level math course required for my degree plan

lolokrat · Answer

plus it might be nice to add that because of the pandemic i missed about two years of math education ... i am very lost

snowflake0531 · Answer

ah

lowkey · Answer

You didn't need to come judgemental. Everybody coems from different mathematical backgrounds. You're on the right track @lolokrat

lolokrat · Answer

no worries i took no offense lol i just need the credit and ill never have to do this math again ... QC has been helping me a lot in figuring this stuff out though

lowkey · Answer

Oh that's great, everyone loves helping. Wish you luck!

snowflake0531 · Answer

@lowkey wrote:

You didn't need to come judgemental. Everybody coems from different mathematical backgrounds. You're on the right track @lolokrat

I didn't, I was in confusion I guess I'm sorry of my lack of knowledge in college courses