- #1
datafiend
- 31
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i have the equation 7(3+7x) = 3(4-2x)
so, I tried 7(3+7x)-3(4-2x)=0
...
so, I tried 7(3+7x)-3(4-2x)=0
...
datafiend said:i have the equation 7(3+7x) = 3(4-2x)
so, I tried 7(3+7x)-3(4-2x)=0
...
A logarithmic equation is an equation in which the variable appears in the exponent. It can be solved by using logarithms, which are mathematical operations that involve finding the power to which a base number must be raised to obtain a given number.
To solve a logarithmic equation, you can use the properties of logarithms to rewrite the equation in a simpler form. Then, you can isolate the variable by using basic algebraic techniques such as combining like terms, distributing, and factoring. Once the variable is isolated, you can solve for it by taking the logarithm of both sides and using the inverse property of logarithms.
The properties of logarithms include the product rule, quotient rule, power rule, and logarithmic identities. These properties allow you to manipulate logarithmic expressions and equations in order to solve them.
If you end up with a negative number inside the logarithm when solving a logarithmic equation, it means that there are no solutions. This is because logarithms only work with positive numbers. Additionally, if you get an answer that makes the base of the logarithm equal to 0, that equation also has no solutions.
Yes, you can check your solution by plugging it back into the original equation and seeing if it results in a true statement. If it does, then your solution is correct. If it doesn't, then you may have made a mistake in your calculations.