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homeworkhelpls
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I started off by using law of logs to divide the logb (6x/18) but i dont know what to do after, please help.
If you have transformed ##\log(6x)-\log(18)## to ##\log(6x/18)## then why did you stop? Put in ##x-1## as well.homeworkhelpls said:View attachment 322211
I started off by using law of logs to divide the logb (6x/18) but i dont know what to do after, please help.
i mean i did transform the equation but after idk how to go onfresh_42 said:If you have transformed ##\log(6x)-\log(18)## to ##\log(6x/18)## then why did you stop? Put in ##x-1## as well.
Btw.: Here is explained how you can type formulas on PF: https://www.physicsforums.com/help/latexhelp/
Merge ##\log\left(\dfrac{6x}{18}\right)+\log(x-1)##. Then you get an equation ##\log \ldots = \log \ldots## which you can take ##b## to the power of it.homeworkhelpls said:i mean i did transform the equation but after idk how to go on
To solve a log equation, you need to use the properties of logarithms to isolate the variable and solve for its value. This typically involves using the power rule, product rule, or quotient rule.
The properties of logarithms include the power rule, product rule, quotient rule, and change of base rule. These rules allow us to manipulate logarithmic expressions and solve equations involving logarithms.
Sure! Let's say we have the equation log(x) + log(2) = log(8). We can use the product rule to combine the two logarithms on the left side, giving us log(2x) = log(8). Then, using the power rule, we can rewrite this as 2x = 8. Finally, we solve for x by dividing both sides by 2, giving us x = 4.
If the log equation has a variable in the exponent, we can use the power rule to bring the exponent down and rewrite the equation without the exponent. Then, we can solve using the same steps as before.
Yes, there are a few common mistakes to avoid when solving log equations. These include forgetting to apply the properties of logarithms, not checking for extraneous solutions, and mistaking logarithmic expressions for exponential expressions.