Write as a Single Logarithm

How to write a logarithmic expression as single logarithm using the properties of logs.

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TC Math Notes

[tomtke]

log(t) + log(s)
log(t) = n.1 such that
10^n.1 = t
log(s) = n.2
10^n.2 = s
t+s = 10^n.1 + 10^n.2
log(t) + log(s) = n.1+n.2
10^3×10^4=10^7
i.e. 10E3×10E4=10E7