Question

solve equation: 2(2)^(x-8)-2=14 express answer using log

Answer 1

add two to both sides
divide both sides by 2
you do not need logs for this

Answer 2

2/2(2)^(x-8)=16/2

2^(x-8)=8

Answer 3

Now write 8 as 2^3

Answer 4

2^(x-8)=2^3

Answer 5

Now. The expressions are equal, the bases are the same so the exponents must be the same. Write and solve that equation.

Answer 6

x-8=3
x=11

Answer 7

yes!

Answer 8

Thank you!