Question

Solve each equation for x. (Enter an exact answer.) (a) 2x − 7 = 5

Answer 1

remember you can do anythingn to an equaiton aslong as you do it to both sides


2x-7=5
add 7 to both sides
2x+7-7=5+7
2x+0=12
2x=12
divide both sides by 2
2x/2=12/2
1x=6
x=6

some new info says the quesiton is

2^x-7=5

dont forget

`log_a(bc)=(log_a(b))(log_a(c))` and

`log_a(a^x)=x`

add 7 to both sideds
2^x=12 take the log₂ of both sides log₂(2^x)=log₂(12) x=log₂(12) log₂(12)=(log₂(4)(log₂(3))=(log₂(2^2))(log₂(3))=(2log₂(2))(log₂(3))=2log₂(3) x=2log₂(3

Answer 2

I hope this helps you 2x-7=5 2x=5+7 2x=12 x=6