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Question
\frac{\ln{\left(0.05\right)}}{-0.115}
Calculate the value
\frac{200\ln{\left(20\right)}}{23}
Alternative Form
\approx 26.049846
Evaluate
\frac{\ln{\left(0.05\right)}}{-0.115}
Calculate
More Steps
Evaluate
\ln{\left(0.05\right)}
Convert the decimal into a fraction
More Steps
Evaluate
0.05
Convert the decimal into a fraction
\frac{5}{100}
Reduce the fraction
\frac{1}{20}
\ln{\left(\frac{1}{20}\right)}
\text{Write the number in exponential form with the base of }20
\ln{\left(20^{-1}\right)}
Rewrite the logarithm
-\ln{\left(20\right)}
\frac{-\ln{\left(20\right)}}{-0.115}
Convert the decimal into a fraction
More Steps
Evaluate
0.115
Convert the decimal into a fraction
\frac{115}{1000}
Reduce the fraction
\frac{23}{200}
\frac{-\ln{\left(20\right)}}{-\frac{23}{200}}
Multiply by the reciprocal
-\ln{\left(20\right)}\times \left(-\frac{200}{23}\right)
Multiplying or dividing an even number of negative terms equals a positive
\ln{\left(20\right)}\times \frac{200}{23}
Multiply the terms
\frac{\ln{\left(20\right)}\times 200}{23}
Solution
\frac{200\ln{\left(20\right)}}{23}
Alternative Form
\approx 26.049846
Show Solutions
