Exercise
$\frac{1}{4}=\log_{16}\left(17-5n\right)$
Step-by-step Solution
Learn how to solve problems step by step online. Solve the logarithmic equation 1/4=log16(17+-5*n). Rearrange the equation. Change the logarithm to base 10 applying the change of base formula for logarithms: \log_b(a)=\frac{\log_{10}(a)}{\log_{10}(b)}. Since \log_{10}(b)=\log(b), we don't need to write the 10 as base. Apply fraction cross-multiplication. Apply the formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right).
Solve the logarithmic equation 1/4=log16(17+-5*n)
Final answer to the exercise
$n=3$