answersLogoWhite

0

y=1+log2x

implies

-1=log2x

which can be solved by raising both sides as an exponent of 2 (since the logarithm is base 2).

2-1=2log2x

This finally implies:

1/2=x

For explanations of why this is:

Anything to a negative exponent simply equals that thing to the positive of that exponent under 1

5-1=1/51=1/5

x-2=1/x2

2-3=1/23=1/8

and so 2-1=1/2

Any number raised to a logarithm of the same base as itself will equal the number inside the logarithm.

5log520=20

xlogx2y=2y

eln 7=7

and so 2log2x=x

User Avatar

Wiki User

15y ago

Still curious? Ask our experts.

Chat with our AI personalities

BlakeBlake
As your older brother, I've been where you are—maybe not exactly, but close enough.
Chat with Blake
ReneRene
Change my mind. I dare you.
Chat with Rene
JudyJudy
Simplicity is my specialty.
Chat with Judy

Add your answer:

Earn +20 pts
Q: What is the answer to Y equals 1 plus log2 x?
Write your answer...
Submit
Still have questions?
magnify glass
imp