Final answer to the problem
$y=x^4$
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Step-by-step Solution
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- Solve for y
- Solve for x
- Find the derivative
- Solve by implicit differentiation
- Solve for y'
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- Derivative
- Find the derivative using the definition
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1
Using the power rule of logarithms: $n\log_b(a)=\log_b(a^n)$, where $n$ equals $4$
$\ln\left(y\right)=\ln\left(x^4\right)$
Learn how to solve logarithmic equations problems step by step online.
$\ln\left(y\right)=\ln\left(x^4\right)$
Learn how to solve logarithmic equations problems step by step online. Solve the logarithmic equation ln(y)=4ln(x). Using the power rule of logarithms: n\log_b(a)=\log_b(a^n), where n equals 4. For two logarithms of the same base to be equal, their arguments must be equal. In other words, if \ln(a)=\ln(b) then a must equal b.
Final answer to the problem
$y=x^4$
