3^(x+1)=4^(x-1) Solve for X

Question

3^(x+1)=4^(x-1) Solve for X

+111

1

7094

13

3^(x+1)=4^(x-1)

Solve for x! Can't for the life of me figure this out! I assume you have to use Logs!

Guest Jan 25, 2012

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11⁺⁰ Answers

#1

+3146

+51

Best Answer3^(x+1)=4^(x-1) | *4

4*3^(x+1)=4^x

ready?

4*3^(x+1)=4^x | ln( .. ) on both sides, let's assume x will be larger 0

ln( 4*3^(x+1) ) = ln( 4^x )

x*ln(3)+ln(12) = x*ln(4) | -x*ln(4) and -ln(12)

x*ln(3)-x*ln(4)=-ln(12)

x*(ln(3)-ln(4))=-ln(12)

x=-ln(12)/(ln(3)-ln(4))

x ≈ 8.63768335861279

admin Jan 25, 2012

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admin · Answer 1 · 2012-01-25T03:29:24

3^(x+1)=4^(x-1) | *4

4*3^(x+1)=4^x

ready?

4*3^(x+1)=4^x | ln( .. ) on both sides, let's assume x will be larger 0

ln( 4*3^(x+1) ) = ln( 4^x )

x*ln(3)+ln(12) = x*ln(4) | -x*ln(4) and -ln(12)

x*ln(3)-x*ln(4)=-ln(12)

x*(ln(3)-ln(4))=-ln(12)

x=-ln(12)/(ln(3)-ln(4))

x ≈ 8.63768335861279

Guest · Answer 2 · 2012-01-25T03:30:46

#2

+19

x=8,637

Guest Jan 25, 2012

#8

+426

+16

They use a comma for a decimal point.

To avoid confusion, for a thousand, no need for a separator, use a space to separate.

1 234 = 1 thousand 2 hundreds 3 tens 4 ones

1,234 or 1.234 = 1 one 2 tenths 3 hundredths 4 thousandths

MWizard2k04 Apr 7, 2016

Guest · Answer 3 · 2014-10-26T03:50:09

no, 8.637.

Guest · Answer 4 · 2016-01-21T06:22:36

Woah, this is the first question ever asked!

rarinstraw1195 · Answer 5 · 2016-03-11T04:55:14

And here we have the first question ever asked. It was asked on Jan. 25, 2012. Wonderful question.

MaxWong · Answer 6 · 2016-04-16T08:45:57

The first question ever asked :O

It was hard

EighthMersennePrime · Answer 7 · 2016-08-20T09:43:32

First question ever asked!!

Guest · Answer 8 · 2016-10-14T12:18:01

YEEEEEEEEEEEEEEEEEEE!!!!! First question. Noice

Sebast1ani5dumb · Answer 9 · 2016-12-19T02:36:51

#12

+180

+13

YOING First question nice

Sebast1ani5dumb Dec 19, 2016

#13

+501

+9

Look what a hard first question!!!

Davis Mar 3, 2017

3^(x+1)=4^(x-1) Solve for X

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