Final answer to the problem
$x=\frac{5\log_{125}\left(\frac{1}{25}\right)+8}{2\left(3+\log_{125}\left(\frac{1}{25}\right)\right)}$
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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
Factor the polynomial $\left(6x-8\right)$ by it's greatest common factor (GCF): $2$
$125^{2\left(3x-4\right)}=\left(\frac{1}{25}\right)^{\left(5-2x\right)}$
Learn how to solve polynomial long division problems step by step online.
$125^{2\left(3x-4\right)}=\left(\frac{1}{25}\right)^{\left(5-2x\right)}$
Learn how to solve polynomial long division problems step by step online. Solve the exponential equation 125^(6x-8)=(1/25)^(5-2x). Factor the polynomial \left(6x-8\right) by it's greatest common factor (GCF): 2. We can take out the unknown from the exponent by applying logarithms in base 10 to both sides of the equation. Use the following rule for logarithms: \log_b(b^k)=k. Solve the product 2\left(3x-4\right).
Final answer to the problem
$x=\frac{5\log_{125}\left(\frac{1}{25}\right)+8}{2\left(3+\log_{125}\left(\frac{1}{25}\right)\right)}$
Exact Numeric Answer
$x=1$
