Can someone help me write 2=3x+1 in exponential form?

Question

Options:
e^2=e^3x+1*
2=e^3x+1
1=e^3x
100=10^3x+1*
The answers with the * both equal 1/3 like the original equation. I don't know if that means anything though:/
Thanks

Answer 1

I suspect you have a typo.

2 = 3x + 1 is just a simple equation that has solution of
x = 1/3

x = 1/3 does not satisfy any of the given choices, the way they are written

However, suppose we have:

e^2 = e^(3x+1) ---> 2 = 3x+1

10^2 = 10^(3x+1) ---> 2 = 3x+1

1732.56^2 = 1732.56^(3x+1) ----> 2 = 3x+1
The last eg. is to drive home a point.

Your choices are correct with the insertion of the brackets.

Answer 2

Huh, okay, I see what you mean.
However, I can only choose one answer.
I'm going to go with the first option because I tried working it out on a graph and that option makes more sense.
Thanks for your help

Answer 3

Which of the following is the equation In 2 = 3x+1 written in exponential form
Is the actual question

Answer 4

the equation ln(2)=3x+1 written in exponential form is 2=e^3x+1

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