## Precalculus: Mathematics for Calculus, 7th Edition

$Evaluate$ $the$ $expression$ $without$ $using$ $a$ $calculator:$ $10^{\log45}$ Make the expression equal to a variable [For instance $z$] $$z = 10^{\log45}$$ Add a logarithm to both sides $$\log z = \log10^{\log45}$$ $$\log z = 1^{\log45} [Note: \log10 = 1]$$ $$\log z = \log 45$$ $$z = 45$$