How to calculate log 0.9821*10^6 ?

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How to calculate log 0.9821*10^6 ?

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Answer 1 · 2018-06-18T18:26:11

Should you not specify the BASE of the logarithmic function...?

Explanation:

If it is ${log}_{10} 0.9821 \times 10^{6}$ $log_(10)0.9821xx10^6$ ...this is approx. equal to $6$ $6$ ...we get a more or less exact value from the calculator... ${log}_{10} 0.9821 \times 10^{6} \equiv 5.992$ $log_(10)0.9821xx10^6-=5.992$ ...

But if we use natural logarithms (and since the base is UNSPECIFIED I would be justified in assuming this, the most natural base) we got...

${log}_{e} 0.9821 \times 10^{6} \equiv 13.797$ $log_(e)0.9821xx10^6-=13.797$ ...

As always when we write ${log}_{a} b = c$ $log_a b=c$ ...I ask to what power I raise the base $a$ $a$ to get $b$ $b$ ...and here $a^{c} = b$ $a^c=b$ . By way of example....

${log}_{10} (0.1) = {log}_{10} (10^{- 1}) = - 1$ $log_10(0.1)=log_10(10^(-1))=-1$

${log}_{10} (100) = {log}_{10} (10^{2}) = 2$ $log_10(100)=log_10(10^(2))=2$

${log}_{10} (1000000) = {log}_{10} (10^{+ 6}) = 6$ $log_10(1000000)=log_10(10^(+6))=6$

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How to calculate log 0.9821*10^6 ?

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