The expression "0.5 log10" refers to the logarithm base 10 of a value, multiplied by 0.5. In this context, if the titer should not exceed 0.5 log10, it indicates that the concentration of the substance being measured should be less than or equal to 10 raised to the power of 0.5, which is approximately 3.16. Therefore, the maximum allowable titer is around 3.16 units.
log(314.25e) = log10(314.25) + log10e = 2.9316
logx(3) = log10(7) (assumed the common logarithm (base 10) for "log7") x^(logx(3)) = x^(log10(7)) 3 = x^(log10(7)) log10(3) = log10(x^(log10(7))) log10(3) = log10(7)log10(x) (log10(3)/log10(7)) = log10(x) 10^(log10(3)/log10(7)) = x
log10(225)2 equals 5.5327625985087111
Common
The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)
ln(x) = log10(X)/log10(e)
log(314.25e) = log10(314.25) + log10e = 2.9316
log10(0.083) = -1.0809 (rounded)
logx(3) = log10(7) (assumed the common logarithm (base 10) for "log7") x^(logx(3)) = x^(log10(7)) 3 = x^(log10(7)) log10(3) = log10(x^(log10(7))) log10(3) = log10(7)log10(x) (log10(3)/log10(7)) = log10(x) 10^(log10(3)/log10(7)) = x
One possible answer is log(330) Another is 1 + log(33)
Let us assume you have a Hydrochloric acid solution of 0.1 M. The pH is - log10[H+]. So log10[0.1] = -1 easy way to remember this is 103 =1000 log 101000 = 3 102 =100 log 10100 = 2 101 =10 log 1010 = 1 100 =1 log 101 = 0 10-1 =0.1 log 100.1 = -1 10-2 =0.01 log 100.01 = -2 So log10[0.1] = -1 and thus pH is - log10[H] = (minus minus 1) = 1
log5 +log2 =log(5x2)=log(10)=log10(10)=1
log10(225)2 equals 5.5327625985087111
log(6) or log10(6) = 0.778 (3sf). Therefore 100.778 = 6 (if you did not understand logarithms).
The little 'p' means -log10 (that's the negative log to base 10). Thus pH means -log10(Hydrogen ion concentration) → pH of the solution = -log10(7.0 x 10-2) ≈ 1.15
Common
The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)