- #1
Cuisine123
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Homework Statement
0.5log(2x-1)+log[tex]\sqrt{x-9}[/tex]=1
Homework Equations
N/A
The Attempt at a Solution
I have no idea how to approach this.
Logs are typically used when there is a variable in the exponent, or when exponent rules need to be applied to simplify the equation. In general, if you see a variable raised to a power, logs may be a useful tool for solving for that variable.
The first step is to isolate the log term on one side of the equation by using algebraic operations to move other terms to the other side.
Yes, you can use any base, but it is most common to use base 10 or base e (natural logarithm). Some equations may require a specific base, so be sure to check the instructions or given information.
To solve for x when the log has a coefficient, divide both sides of the equation by the coefficient. This will isolate the log term and allow you to solve for x.
If there are multiple logs, use log rules to combine them into a single log term. Then, you can use the properties of logarithms to solve for x.