Question

Is Anyone Here Good With Logarithms? I Really Could Use Some Help On A HomeWork Thing. Please

Answer 1

2^x+1=8x

Answer 2

is it (2^x) +1 = 8x

Answer 3

No Its 2^(x+1)=8x

Answer 4

It's not 8^x on the right side?
You sure? :U

Answer 5

\[\Large\rm 2^{x+1}=8^x\]Cuz this problem would make a lot more sense :)

Answer 6

8 is a power of 2,
more specifically, it's 2 to the 3rd power.\[\Large\rm 2^{x+1}=8^x\qquad\to\qquad 2^{x+1}=\left(2^{3}\right)^x\]Applying rules of exponents gives us:\[\Large\rm 2^{x+1}=2^{3x}\]Since the bases are the same, the exponents have to be equal as well.
So equate the exponents and solve for x!

Answer 7

That's It!

Answer 8

Wait How Do You Equate Exponents? Do You Mean Like Put Them Together?

Answer 9

if you cant tell of one thing is an base of the other, just log it out ....

Answer 10

Equate! :)\[\Large\rm x+1=3x\]Setting the exponents equal to one another.
Understand you're only allowed to do this since the bases are equal!

Answer 11

Oh Okay So Its 1=2x?

Answer 12

Mmmm yah that would be ...a... step +_+
finish it up though!

Answer 13

\[2^{x+1}=8^x\]
\[log(2^{x+1})=log(8^x)\]
\[(x+1)log(2)=x~log(8)\]
\[x~log(2)+log(2)=x~log(8)\]
\[log(2)=x~log(8)-x~log(2)\]
\[log(2)=x~(log(8)-log(2))\]
\[\frac{log(2)}{log(8)-log(2)}=x\]
etc ...

Answer 14

x=1/2? Which Would Mean 2^1/2 or x=1/2

Answer 15

yay good job \c:/

Answer 16

That's It? Will You Please Help Me With ANother One? Logarithims Are So Confusing!