Please help ASAP! Than you very much! Just want confirm my answer it is -8 or -4. Solve 6 =36 . Or 6^(x-2) = 36 ^(x+3).

Work Shown:

6^(x-2) = 36^(x+3)

6^(x-2) = ( 6^2 )^(x+3) ... replace 36 with 6^2

6^(x-2) = 6^(2(x+3)) use the rule (a^b)^c = a^(b*c)

6^(x-2) = 6^(2x+6) distribute

x-2 = 2x+6 bases are both 6, so the exponents must be equal

2x+6 = x-2

2x-x = -2-6

x = -8 This is the only solution

Alternatively, you can use logarithms to solve for x. Though in my opinion that is a messier route to take.

Checking the

Plug x = -8 into the original equation. Simplify both sides. We should get the same value on both sides. If not, then we made an error in solving for x

6^(x-2) = 36^(x+3)

6^(-8-2) = 36^(-8+3)

6^(-10) = 36^(-5)

0.00000001653818 = 0.00000001653818

We get the same value on both sides. This confirms we have the right answer.

answer: c.  

step-by-step explanation:

mixtures containing substances that get attracted to magnet can be separated using a magnet. we can separate iron from a mixture of sand and iron, as only iron attracts to the magnet.