One way to solve an equation or inequality that has both decimals and fractions is to change the
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The potential solutions of are 2 and -8.
From the properties of logarithms, you can rewrite logarithmic expressions.
The main properties are:
- Product Rule for Logarithms -
- Quotient Rule for Logarithms -
- Power Rule for Logarithms -
The exercise asks the potential solutions for . In this expression you can apply the Product Rule for Logarithms.
Now you should solve the quadratic equation.
Δ=. Thus, x will be
. Then:
The potential solutions are 2 and -8.
Read more about the properties of logarithms here:
