Try solving this log equation using algebra

  • Thread starter Thread starter newcool
  • Start date Start date
  • Tags Tags
    Algebra Log
newcool
Messages
42
Reaction score
0
6-2x = 3 * log (x)

Is it possible to solve such an equation without graphing?
 
Mathematics news on Phys.org
newcool said:
6-2x = 3 * log (x)

Is it possible to solve such an equation without graphing?


No.Even graphic methods only give an approximate value...

Daniel.
 
try Newton's method (numerical iteration)

x_{i+1} = x_{i} - \frac{f(x_{i})}{f'(x_{i})}. Write the function as

f(x) = 3\log(x) - 6 + 2x and

f'(x) = \frac{3}{\ln(10)x} + 2 (the derivative of the function.

Choose a number not zero to start and just iterate away.
 

Thread 'What Exactly is Dirac’s Delta Function? - Insight'

Insights auto threads is broken atm, so I'm manually creating these for new Insight articles. In Dirac’s Principles of Quantum Mechanics published in 1930 he introduced a “convenient notation” he referred to as a “delta function” which he treated as a continuum analog to the discrete Kronecker delta. The Kronecker delta is simply the indexed components of the identity operator in matrix algebra Source: https://www.physicsforums.com/insights/what-exactly-is-diracs-delta-function/ by...
View full post »

Thread 'Fermat's Last Theorem'

Fermat's Last Theorem has long been one of the most famous mathematical problems, and is now one of the most famous theorems. It simply states that the equation $$ a^n+b^n=c^n $$ has no solutions with positive integers if ##n>2.## It was named after Pierre de Fermat (1607-1665). The problem itself stems from the book Arithmetica by Diophantus of Alexandria. It gained popularity because Fermat noted in his copy "Cubum autem in duos cubos, aut quadratoquadratum in duos quadratoquadratos, et...
View full post »

Thread 'Useless continued fraction for 1'

I'm interested to know whether the equation $$1 = 2 - \frac{1}{2 - \frac{1}{2 - \cdots}}$$ is true or not. It can be shown easily that if the continued fraction converges, it cannot converge to anything else than 1. It seems that if the continued fraction converges, the convergence is very slow. The apparent slowness of the convergence makes it difficult to estimate the presence of true convergence numerically. At the moment I don't know whether this converges or not.
View full post »

Similar threads

MHB 6.6.61 log(x-10)-log(x-6)=log(2)
Replies
13
Views
2K
MHB -s6.6 solve exponential eq 3^x-14\cdot 3^{-x}=5
Replies
1
Views
977
I When is it preferable to use semi-log and log-log graphs?
Replies
4
Views
2K
MHB How Do I Solve a Logarithmic Equation with Different Bases and Variables?
Replies
4
Views
1K
B How to solve log(x)+2x=2 for x?
Replies
9
Views
2K
I Calculation of x from log equation
Replies
3
Views
1K
MHB Solve 2^3x+1=32: Find X Using Logs
Replies
5
Views
2K
B What went wrong with (-x)^2=x^2?
Replies
22
Views
2K
B Log(x), an easy and useful way to calculate it
Replies
10
Views
2K
MHB Solving for an exponential equation using logarithms 16^{x}-5(4)^{x}-6=0
Replies
3
Views
2K

Hot Threads

Recent Insights

Back
Top