## Precalculus (6th Edition) Blitzer

The value of the expression $30{{e}^{0.7x}}\le 240$ is $x\le 2.97$.
We have to find the value of x from $30{{e}^{0.7x}}\le 240$ as given below: \begin{align} & 30{{e}^{0.7x}}\le 240 \\ & {{e}^{0.7x}}\le 8 \\ & 0.7x\ln e\le \ln 8 \end{align} And simplify it further, to get: \begin{align} & 0.7x\le 2.08 \\ & x\le 2.97 \end{align} Thus, the value of x is $x\le 2.97$.