simplify log 10^36 - 2(10^log 12)

a. -108
b. 0.25
c. 1.5
d. 12

2 answers

log 10^36 - 2(10^log 12)
10^llogX = X so 10^log12 = 12
so
36 log 10 - 24
but log 10 is1
36 -24 = ?
by the definition of log,
10^logx = x
log 10^x = x
So, your expression is just
36-2(12)
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