Question

log10base 2 + log10base 10​

Answer 1

Answer:

Step-by-step explanation:

By log rules,  loga(b)  can be written as  logbloga . If this makes no sense whatsoever, then consider this:

x=loga(b)  

ax=aloga(b)=b  

log(ax)=log(b)  

xlog(a)=log(b)  

x=log(b)log(a)  

Okay, now that that is out of the way, back to the problem. Rewriting your problem:

log102=log2log10=.3010  

Based on this, and the log rules mentioned earlier, your answer is just the reciprocal of this:

log210=log10log2=1.3010  

Final answer:  1.3010≈3.322

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Answer 2

Step-by-step explanation:

log 10 + 1

2

1 can be written as log 2 base2

log 10 + log 2

2 2

= log 2×10 = log 20

2 2

hope this helps