Final answer to the problem
$\frac{\ln\left(8\right)}{\ln\left(10\right)}$
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Step-by-step Solution
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- Solve using L'Hôpital's rule
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- Solve the limit using factorization
- Solve the limit using rationalization
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
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1
Change the logarithm to base $e$ applying the change of base formula for logarithms: $\log_b(a)=\frac{\log_x(a)}{\log_x(b)}$
Learn how to solve logarithmic differentiation problems step by step online.
$\lim_{x\to4}\left(\frac{\ln\left(x+4\right)}{\ln\left(10\right)}\right)$
Learn how to solve logarithmic differentiation problems step by step online. Find the limit of log(x+4) as x approaches 4. Change the logarithm to base e applying the change of base formula for logarithms: \log_b(a)=\frac{\log_x(a)}{\log_x(b)}. Evaluate the limit \lim_{x\to4}\left(\frac{\ln\left(x+4\right)}{\ln\left(10\right)}\right) by replacing all occurrences of x by 4. Add the values 4 and 4.
Final answer to the problem
$\frac{\ln\left(8\right)}{\ln\left(10\right)}$
