How do you simplify log10(10)?

2 Answers

the equivalent of the expression is 32

Explanation:

We start from the given

log1010

which also means

log101010

log101011012

log1010(1+12)

log101032

from the Laws of logarithms, we have
logbbx=x

so that the final simplification is simply

32

Feb 19, 2016

log10 means log10(10)

Explanation:

log10(10)(10)

logaa=1 because if you take the change of base rule logan=(lognloga), with a and n being equal, the expressions cancel each other out, giving us 1.

=1×10

= 10or2.16

Practice exercises:

  1. Simplify log3(3)log8(8)5. Don't forget to rationalize the denominator.

  2. Simplify logx1(x+1)+logx+1(x1). Note: a helpful rule is: logan+logam=loga(n×m)