Skip to main content\(
\newcommand{\lt}{<}
\newcommand{\gt}{>}
\newcommand{\amp}{&}
\definecolor{fillinmathshade}{gray}{0.9}
\newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}}
\)
Activity 3.5.2.
Solve each of the following equations exactly and then find an estimate that is accurate to 5 decimal places.
(a)
(b)
(c)
\(3.7 \cdot (0.9)^{0.3t} + 1.5 = 2.1\)
(d)
\(72 - 30(0.7)^{0.05t} = 60\)
(e)
(f)
\(3 + 2\log_{10}(t) = 3.5\)