Question

find the unknown value: 36^y = 6

Answer 1

hint if 6^2=36 or 6*6=36 then what is 36^y=6?

Answer 2

As the lovely @rebeccaxhawaii has hinted at...you can rewrite this because you know \(\large 36 = 6^2\)

So what you can write is

\[\large (6^2)^y = 6^1\]
*I just wrote the 1 exponent for later...so you can see*

We know we can multiply these 2 exponents because \(\large (a^b)^c = a^{bc}\)

so we have \(\large 6^{2y} = 6^1\)

So now we merely equate these two...when does 6^(2y) = 6^(1)

Well it happens when \(\large 2y = 1\)

So what would \(\large y\) equal?

Answer 3

smartcicles over here ^^