Solve for the unkonwn, t.
$a·e$b·t = 100
e$b·t = SFgqQUkJGdg=
(Rounded to two decimal places.)
Recall that logb(bx) = 8z8gbl4D5V6iK9Xg for any real x and any positive constant base b ≠ 1 and recall that logarithms with base e, loge x, are called natural logarithms denoted by ln(x).
Next we take the natural logarithm of each side of the equation.
e$b·t = $c
ln(e$b·t) = ln($c)
Using the properties recalled in Step 1, ln(e$b·t) = loge(e$b·t) = iSba6t70dtA=·t.
Substituting ln(e$b·t) = $b·t, solve for t.
e$b·t = $c
ln(e$b·t) = ln($c)
$b·t = ln($c)
t = qjqZz1N+poo=