Why Was My pH Calculation Wrong?

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The discussion revolves around a pH calculation error involving the neutralization of NaOH and HCl. The initial calculations led to an incorrect pH of 3.14 due to confusion between logarithmic functions. The user discovered that WolframAlpha was using natural logarithm (ln) instead of the common logarithm (log base 10), which caused the discrepancy. Correcting the logarithm type yielded the expected pH of 1.37, aligning with the teacher's answer. The issue highlights the importance of understanding logarithmic bases in pH calculations.
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This is an example in my book. I have the answer for it, but I don't know why my answer was wrong. Here's the question:
Lauren pours 40 mL of .1M NaOH into 100 mL of Megan's .1 M HCl. What is the pH?
Here's what I did:
R NaOH+HCl ⇔ NaCl + H2O
I .004 , .01 ⇔ 0 0
C -.004 , -.004 ⇔ +.004 , +.004
E 0 , .006 ⇔ .004 , .004​
Then, I made another RICE table for the remaining HCl:
R HCl + H2 O ⇔ H3O++ Cl-
I .006
C -.006 -.006 +.006 +.006​
So then pH=-log(.006/.14)=3.14
But my teacher's book says pH=1.37.
UPDATE: I was using WolframAlpha.com to calculate the log and apparently it calls log what I would call ln. When I entered log base 10 (.006/.14) everything worked out fine. If somebody knows how, delete this post please.
 
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