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Question 6 (1 point)
(05.01 MC)
What is the solution to the equation
O a
Ob
Oc
Od
m=-
m=
m =
m=
54
15
11
4
54
96
4
√8
4(m-3)?

Answer 1

d. m = 9/4

Explanation:

You want the solution to ...

1/√8 = 4^(m -3)

Powers of 2

It will be convenient to rewrite this equation in terms of powers of 2.

`(1)/(√(8))=4^((m-3))\qquad\text{given}\\\\\frac{1}{2^{(3)/(2)}}=(2^2)^((m-3))\qquad\text{using powers of 2}\\\\-(3)/(2)=2(m-3)\qquad\text{equate the exponents of 2}\\\\-(3)/(4)=m-3\qquad\text{divide by 2}\\\\\boxed{m=(9)/(4)}\qquad\text{add 3}`