Question

express each of the following as a single logarithm 2 log 10 5 + 2 log 10 3 - log 10 2 + 1​

Answer 1

Answer:

2log10

5−log

10

2+3log

10

4+1

Let us simplify the expression into single logarithm,

2log

10

5−log

10

2+3log

10

4+1=log

10

5

2

−log

10

2+log

10

4

3

+log

10

10

=log

10

25−log

10

2+log

10

64+log

10

10

=log

10

(25×64×10)−log

10

2

=log

10

(160000)−log

10

2

=log

10

(16000/2)

=log

10

8000

Step-by-step explanation:

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