Final answer to the problem
$x=2$
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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 $b=10$
$\log \left(\left(\frac{x}{5}\right)^4\right)+\log \left(\frac{625}{4}\right)=\log \left(x^2\right)$
Learn how to solve problems step by step online. Solve the logarithmic equation 4log(x/5)+log(625/4)=2log(x). Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right), where a=2 and b=10. The power of a quotient is equal to the quotient of the power of the numerator and denominator: \displaystyle\left(\frac{a}{b}\right)^n=\frac{a^n}{b^n}. The sum of two logarithms of the same base is equal to the logarithm of the product of the arguments. Multiplying fractions \frac{x^4}{625} \times \frac{625}{4}.
Final answer to the problem
$x=2$
