Find the solution to the equation log16 32 = x + 3. Using complete sentences, explain the procedure used to solve this equation.

Question

anonymous · Answer

$$\log_{16}(32)=x+3$$?

anonymous · Answer

we have a couple of ways to do this
perhaps the easiest way is to rewrite in equivalent exponential form as 
$$16^{x+3}=32$$

anonymous · Answer

now we can proceed like in the last question, make the bases the same
since $16=2^4$ and $32=2^5$ you can write 
$$2^{4(x+3)}=2^5$$ which makes 
$$4(x+3)=5$$

anonymous · Answer

okay!!:)))

anonymous · Answer

you know how to solve this one?

anonymous · Answer

yes thank you!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

anonymous · Answer

yw

anonymous · Answer

How would you solve it? I'm guessing distribute the 4 to get (4x+12)=5, then subtracting 12 form each side = 4x=-7, dividing by 4, giving me x= -7/4??