Activity 3.4.2.
For each of the following equations, determine the exact value of the unknown variable. If the exact value involves a logarithm, use a computational device to also report an approximate value. For instance, if the exact value is \(y = \log_{10}(2)\text{,}\) you can also note that \(y \approx 0.301\text{.}\)
(a)
\(10^t = 0.00001\)
(b)
\(\log_{10}(1000000) = t\)
(c)
\(10^t = 37\)
(d)
\(\log_{10}(y) = 1.375\)
(e)
\(10^t = 0.04\)
(f)
\(3 \cdot 10^t + 11 = 147\)
(g)
\(2\log_{10}(y) + 5 = 1\)
