Answer
$x\approx2011.5680$
Work Step by Step
Divide both sides by 5.
$(1.015)^{x-1980}=\frac{8}{5}$
Take the logarithm of both sides.
$(x-1980)\log1.015=\log\frac{8}{5}$
Divide both sides by
$\log1.015$ and solve for $x$.
$x=1980+\frac{\log\frac{8}{5}}{\log1.015}\approx2011.5680$
