Question

Solve for X & check all that apply.

2700=300*2^10x

A. x=ln(9)/10

B. x=ln(9)/10*ln(2)

C. x=log(9)/10

D. x=log(9)/10*log(2)

Answer 1

is that 2700=300*2^(10x) ?
if so then steps would be:
2700/300 = 2^(10x)

then take the Ln of both sides:
Ln(9) = Ln(2)^(10x)

Now you can drop the 10x:
Ln(9) = 10x*Ln(2)

then just move the 10*Ln(2) to the other side:
Ln(9)/10*Ln(2)=x

Answer 2

So B would be the only possible option and none of the other ones would apply?

Answer 3

D would be correct also because of the change of base formula

Answer 4

oh okay so just B & D?

Answer 5

Correct

Answer 6

thank you so much! :)

Answer 7

You're welcome!