Asked by Edna
Log with base 8
X= (5x+4)
=
Y= 3x-4
It looks like this the problem log 8(5x+4)=3x-4
I’ve tried different ways to solve but giving me different answers
X= (5x+4)
=
Y= 3x-4
It looks like this the problem log 8(5x+4)=3x-4
I’ve tried different ways to solve but giving me different answers
Answers
Answered by
oobleck
there is no solution to this using elementary functions.
You will need some numerical techniques.
You will need some numerical techniques.
Answered by
mathhelper
log <sub>8</sub>(5x+4) = 3x-4
means:
8^(3x-4) = 5x+4
This is not an easy equation to solve.
I graphed y = 8^(3x-4) and y = 5x+4
using DESMOS, and got x = appr -.8 and x = appr 1.741
You will have to use some type of "technology" to solve it,
if you know Calculus, then Newton's Method is your best bet.
check: if x = -.8
LS = .00000166 , RS = 0 , so that answer is pretty good
if x = 1.741
LS = 12.7198 , RS = 12.705 , looks reasonable as well.
means:
8^(3x-4) = 5x+4
This is not an easy equation to solve.
I graphed y = 8^(3x-4) and y = 5x+4
using DESMOS, and got x = appr -.8 and x = appr 1.741
You will have to use some type of "technology" to solve it,
if you know Calculus, then Newton's Method is your best bet.
check: if x = -.8
LS = .00000166 , RS = 0 , so that answer is pretty good
if x = 1.741
LS = 12.7198 , RS = 12.705 , looks reasonable as well.
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