log 27 – log 243 + log 81
You asked:
Evaluate the expression: \(\log\left( 27 \right) - \log\left( 243 \right) + \log\left( 81 \right)\)
MathBot Answer:
\[\log\left( 27 \right) - \log\left( 243 \right) + \log\left( 81 \right) = - \log{\left(243 \right)} + \log{\left(27 \right)} + \log{\left(81 \right)} \approx 2.19722457733621938279049047384505\]
\[\begin{aligned}\log\left( 27 \right) - \log\left( 243 \right) + \log\left( 81 \right)& = \log{\left(27 \right)} - \log{\left(243 \right)} + \log{\left(81 \right)}\\& = \left(- \log{\left(243 \right)} + \log{\left(27 \right)}\right) + \log{\left(81 \right)}\\& = - \log{\left(243 \right)} + \log{\left(27 \right)} + \log{\left(81 \right)}\end{aligned}\]