document.write( "Question 614192: I have a problem requiring me to find the value of p^H using the value of [H^+] by using the formula \"+pH+=+-log%28H%29+\"\r
\n" ); document.write( "\n" ); document.write( "Similarly, I have another problem requiring me to find the value of [H^+] by using pH.\r
\n" ); document.write( "\n" ); document.write( "I'll put these two problems to show what I mean.\r
\n" ); document.write( "\n" ); document.write( "1. Determine the p^H given the following value:\r
\n" ); document.write( "\n" ); document.write( "\"+%28H%29+=+1.58+%2A+10%5E-9+\"\r
\n" ); document.write( "\n" ); document.write( "2. Determine the [H+] from the following pH value:\r
\n" ); document.write( "\n" ); document.write( "\"+pH+=+3.3+\"\r
\n" ); document.write( "\n" ); document.write( "I figured that the first question's answer was 9, but it was actually 8.8, I'm guessing that's because of the 1.58, however I don't see how to use 1.58 to help find the answer.\r
\n" ); document.write( "\n" ); document.write( "Another thing troubling me about these is, that I don't understand logarithms very much, so I don't understand the process used to solve the problems.\r
\n" ); document.write( "\n" ); document.write( "Thanks in advance.
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Algebra.Com's Answer #386453 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
a logarithm is an exponent that some base must be raised to, to equal some value
\n" ); document.write( "___ the base for \"common\" logarithms is 10 (logs are common unless otherwise indicated)\r
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\n" ); document.write( "\n" ); document.write( "when quantities are multiplied, their logs are added
\n" ); document.write( "___ when divided, the logs are subtracted\r
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\n" ); document.write( "\n" ); document.write( "log(a) = b means 10^b = a\r
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\n" ); document.write( "\n" ); document.write( "1. log[H+] = log(1.58) + log(10^-9)\r
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\n" ); document.write( "\n" ); document.write( "log[H+] = .199 + -9 = -8.801\r
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\n" ); document.write( "\n" ); document.write( "pH = - log[H+] = - -8.801 = 8.8\r
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\n" ); document.write( "\n" ); document.write( "2. - log[H+] = 3.3\r
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\n" ); document.write( "\n" ); document.write( "log[H+] = - 3.3 = .7 - 4 (the log of the coefficient is less than one, while the exponent is an integer))\r
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\n" ); document.write( "\n" ); document.write( "[H+] = 10^.7 * 10^-4 = 5.012 * 10^-4
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