Chapter 12 - Exponential Functions and Logarithmic Functions - 12.5 Common Logarithms and Natural Logarithms - 12.5 Exercise Set - Page 819: 93

$x=4.9855$

Apply $\log_{a}(MN)=\log_{a}M+\log_{a}N$ $\log(692\cdot x)=\log 3450\qquad$ ... logarithmic functions are one-to-one... $ 692x=3450\qquad$ ... divide with 692 $x=\displaystyle \frac{3450}{692}\approx 4.98554913295$ To four decimal places, $x=4.9855$