How do you solve 8x=4?

Irvin Dukes

Irvin Dukes

Answered

2021-12-23

How do you solve 8x=4?

Answer & Explanation

Jack Maxson

Jack Maxson

Expert

2021-12-24Added 25 answers

8x=4x=23
Explanation: 8x=4
Since 4=(2)(2)=22
we can say that
8=4(2)=(2)(2)(2)=2(22)=22+1=23
So by changing notation we get
(23)x=22
and since (xa)b=xab, we can say
23x=22
Then we take the ln2(x) of both sides
ln2(23x)=ln2(22) This gives us
3x=2
Then we divide both sides by 3 to isolate x
x=23
and we have our answer
ramirezhereva

ramirezhereva

Expert

2021-12-25Added 28 answers

Solve for x over the real numbers:
8x=4
Hint:
Eliminate the exponential from the left hand side.
Take the logarithm base 8 of both sides:
Answer:
x=23
user_27qwe

user_27qwe

Expert

2021-12-30Added 230 answers

First answer is more helpful

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