Question

3.
log 10 2 + log10 5 =​

Answer 1

Answer:

1

Step-by-step explanation:

=log 10 (5×2)

=log 10 10

=1

Answer 2

2-log10(2)-2log10(5) is written as a single logarithm log10(2). How can I do this?

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2-log10(2)-2log10(5) is written as a single logarithm log10(2). How can I do this?

The important things here are:

a=log10(10a)

alog10(b)=log10(ba)

log10(a)−log10(b)=log10(ab)

Division and Subtraction left to right.

So

2−log10(2)−2log10(5)=

log10(100)−log10(2)−log10(25)=

log10(1002)−log10(25)=

log10(50)−log10(25)=

log10(5025)=

log10(2)