+23254 1.08^x = 3.076923
If the variable is an exponent, use logs (or lns):
log(1.08^x) = log(3.076923)
An exponent in a log expression, comes out as a multiplier:
x·log(1.08) = log(3.076923)
Divide by log(1.08):
x = log(3.076923) / log(1.08)
x = 14.60388...
(You can use either the log key or the ln key.)
+7188 You find the value of x
$${{\mathtt{1.08}}}^{{\mathtt{x}}} = {\mathtt{3.076\: \!923}} \Rightarrow {{\mathtt{27}}}^{{\mathtt{x}}} = {\frac{{\mathtt{3\,076\,923}}{\mathtt{\,\times\,}}{{\mathtt{25}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}}{{\mathtt{64}}}} \Rightarrow {{\mathtt{27}}}^{{\mathtt{x}}} = {\frac{{\mathtt{3\,076\,923}}{\mathtt{\,\times\,}}{{\mathtt{25}}}^{\left({\mathtt{x}}{\mathtt{\,-\,}}{\mathtt{3}}\right)}}{{\mathtt{64}}}}$$
+23254 1.08^x = 3.076923
If the variable is an exponent, use logs (or lns):
log(1.08^x) = log(3.076923)
An exponent in a log expression, comes out as a multiplier:
x·log(1.08) = log(3.076923)
Divide by log(1.08):
x = log(3.076923) / log(1.08)
x = 14.60388...
(You can use either the log key or the ln key.)
