Question

reduce to simplest terms:
log2^2+log5^2

Answer 1

log 100

Answer 2

if your base is 10, then the answer is 2

Answer 3

\[\log2^2+\log5^2=2\log2+2\log5=2*(\log2+\log5)\]
\[=2(\log(2*5))=2(\log10)=2(1)=2 \]
\[(\log_{10}(10)=1 since 10^1=10)\]