Question

please help. log base5 x+logbase5(x+4)=1

Answer 1

here we have to apply this property of logarithm:
\[\Large {\log _5}x + {\log _5}\left( {x + 4} \right) = {\log _5}\left\{ {x\left( {x + 4} \right)} \right\}\]

Answer 2

then, we can rewrite your equation as below:
\[\Large {\log _5}\left\{ {x\left( {x + 4} \right)} \right\} = {\log _5}5\]
since, by definition of logarithm, we have:
\[\Large {\log _5}5 = 1\]

Answer 3

rephrasing the definition the log of a number is the power to which the base must be raised to get that number