Question

Express as a single logarithm....

2 log 5- log 2+3 log4+1

Answer 1

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2 + 3 log 2 - 2 log 5= log 100 + log 8 - log 25

= log 800 - log 25

= log 32

Basically make 2 into log 100, and using power law make 3log2 into log 8 and 2log5 into log 25.

Then use bodmas and add log 100 and log 8 and you will get log 100 based on the rule.

Then subtract log25 from log 800 then you will get log 32

Answer 2

Step-by-step explanation:

2 + 3 log 2 - 2 log 5= log 100 + log 8 - log 25

= log 800 - log 25

= log 32

Basically make 2 into log 100, and using power law make 3log2 into log 8 and 2log5 into log 25.

Then use bodmas and add log 100 and log 8 and you will get log 100 based on the rule.

Then subtract log25 from log 800 then you will get log 32