- #1
elemis
- 163
- 1
Is there a general method for solving these kind of questions ?
How would you solve it ? With steps please.
log x= 5-x
log x=3x-3
How would you solve it ? With steps please.
log x= 5-x
log x=3x-3
Theaumasch said:You need to solve them numerically. Topics like this one belong in the homework forums.
Just like log, or exp, or sine and cosine.Mentallic said:They can be solved using the Lambert W function, but if you haven't heard of ths before then it won't really be of any help since that function is solved numerically anyway.
HallsofIvy said:Just like log, or exp, or sine and cosine.
Mentallic said:They can be solved using the Lambert W function, but if you haven't heard of ths before then it won't really be of any help since that function is solved numerically anyway.
jackmell said:I do not believe those two equations can be solved for x in terms of the Lambert-W function because the inverse functions work against any sort of isolation of x.
Mentallic said:Oh yes you're right! How silly of me
A logarithm, or log, is the inverse function of exponentiation. It is used to solve for the exponent in an exponential equation.
Logs are used to solve for the missing variable in an exponential equation, which can be difficult to do algebraically. They also help to condense large numbers into more manageable values.
To solve a log equation, you can rewrite it in exponential form and then solve for the variable. Alternatively, you can use the properties of logarithms, such as the product, quotient, and power rules, to simplify the equation and solve for the variable.
Some common mistakes when solving log equations include forgetting to use the properties of logarithms, misunderstanding the order of operations, and not checking for extraneous solutions. It is important to double check your work and make sure you have followed all the necessary steps.
Yes, logs can be negative. In fact, logarithms of fractions or decimals are often negative. However, the argument of a logarithm must always be positive. If the argument is negative, the logarithm is undefined.