Help please?

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2 Answers
Dec 12, 2017

I consider all the logs in base #10#...

Explanation:

We have:

#log10^36=36log10=36#
and
#-2(10^(log(12)))=-2(12)=-24#

giving: #36-24=12#

Dec 12, 2017

The answer is #D#. See explanation.

Explanation:

#log10^36-2*(10^log12)#

If the base of the logarithm is not specified then the base is #10#.

First term: #log10^36# is #36# because you have to raise #10# to the power of #36# to get #10^36#.

The second #log# expression is equal to #12# because for any base #a# it is true that:

#a^{log_a b}=b# ##.

So the expression can be written as:

#log10^36-2*(10^log12)=36-2*12=36-24=12#

The value #12# is the one mentioned in #D#.