exercises, first one result is 0?

[nova plank]

Alright.

So let's look through both of these.

@digital star, can you talk right now?

So we can break this down.

[digital star]

ye

[nova plank]

Log base 2 of 64.

2 to the power of some number equals 64.

[digital star]

it says solve it the definition

[nova plank]

True.

[digital star]

using the definition

[nova plank]

So log base 2 of 64 is 6.

2^6=64.

[digital star]

yea i did that

[nova plank]

Then you add log base 2 of 1/4.

[digital star]

base 2 2 -2

[nova plank]

Yep.

6-2=4.

Then you find the next one.

Log base 3 of 9.

[digital star]

huh

Lg base 2 1/4

[nova plank]

-2, yes.

[digital star]

yea -2

so it takes down the log and result is -2

i solved everything and it goes like 6-2-2-2

which is 0

but chatgpt says another result

so idk

[digital star]

which result you got?

[nova plank]

Sorry, my Internet is bad right now.

[digital star]

ye

[nova plank]

Your mistake was on the last one. Log base 2 of sqrt 2. Sqrt is the same as to the power of 1/2. So at the end, you have 6-2-2-1/2.

[digital star]

so the result would be 3/2

the other one is -8

what about this, because the log doesnt have base, i thought it was 10 so my result is 23/3 but im not sure