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# Solve the logarithmic equation $2\log \left(x\right)=3+\log \left(\frac{x}{10}\right)$

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##  Step-by-step Solution 

How should I solve this problem?

• Choose an option
• Solve for x
• Find the derivative using the definition
• Solve by quadratic formula (general formula)
• Simplify
• Find the integral
• Find the derivative
• Factor
• Factor by completing the square
• Find the roots
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1

Apply the formula: $a\log_{b}\left(x\right)$$=\log_{b}\left(x^a\right)$, where $a=2$ and $b=10$

$\log \left(x^2\right)=3+\log \left(\frac{x}{10}\right)$

Learn how to solve logarithmic equations problems step by step online.

$\log \left(x^2\right)=3+\log \left(\frac{x}{10}\right)$

Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation 2log(x)=3+log(x/10). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2 and b=10. Express the numbers in the equation as logarithms of base 10. There are no logarithms of negative numbers or 0.

No solution

##  Explore different ways to solve this problem

Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more

###  Main Topic: Logarithmic Equations

Are those equations in which the unknown variable appears within a logarithm.