Log rate law problem

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r12214001
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Homework Statement
calculation
Relevant Equations
log problem
my question is in fig.
Slide showing a solution manual calculation of [N2O5] at 150 s using ln[N2O5] = -kt + ln[N2O5]0, with ln(0.100) written as -2.303 and a red box around 2.303, giving -3.343 and 0.0353 mol/L.
 
log0.1=-2.303
because that is what it is when you calculate it
did you calculate it?

you do not need to calculate it thought as the log and antilog cancel
$$\mathrm{antilog}(-1.040+\log(0.010))=\mathrm{antilog}(-1.040)\cdot\mathrm{antilog}(\log(0.100))
=\mathrm{antilog}(-1.040)\cdot(0.100)$$