This question was uploaded on 27/09/21 on social media accounts.
A logarithm question based on basic logarithm properties like log(ab) = log(a) + log(b) and log(a/b) = log(a) - log(b).
Solution:
Given equation:
\[(\log_315)^2=(\log_35)^2+\log_3x\]
\[\Rightarrow (\log_315)^2-(\log_35)^2=\log_3x\]
\[\Rightarrow (\log_315+\log_35)(\log_315-\log_35)=\log_3x\]
\[\Rightarrow \log_3(15\times5)\cdot\log_3\frac{15}{5}=\log_3x\]
\[\Rightarrow \log_375\cdot\log_33=\log_3x\]
\[\Rightarrow \log_375=\log_3x\]
\[\Rightarrow x=75\]
Question based on Algebra, Equation.
