The logarithm base 10 (log10) of 0.00000001 can be calculated as follows: 0.00000001 is equivalent to 10^-8. Therefore, log10(0.00000001) = log10(10^-8) = -8.
000000001 is the same as 1!
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
That loopks like a micrometer ... 0.001 millimeter.
The natural logarithm is calculated to base e, where e is Euler's constant. For any number, x loge(x) = log10(x)/log10(e)
log(314.25e) = log10(314.25) + log10e = 2.9316
000000001 is the same as 1!
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
.000000001 %
000000001
pH = -log10[H+] = -log10(0.001 mol/L )= -log10(10-3)= 3
ln(x) = log10(X)/log10(e)
10 log10 (100) or 10 (the exponent of 10 that gives you 100) 10 (2) 20
That loopks like a micrometer ... 0.001 millimeter.
That goes beyond the capabilities of most scientific calculators, but you can calculate it with logarithms:x = 7^2011 log10(x) = log10(7^2011) log10(x) = 2011 log10(7) x = 10^(2011 log10 7) x = 10^1.699,49 x = 10^0.49 times 10^1699 x = 3.09 times 10^1699
4
log10(0.083) = -1.0809 (rounded)
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