What is simplify-(ln(4/5))/(ln(\frac{1.05){1.035})} ?

The solution to simplify-(ln(4/5))/(ln(\frac{1.05){1.035})} is 15.50820…

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simplify-(ln(4/5))/(ln(\frac{1.05){1.035})}

simplify

- \frac{ln ( \frac{4}{5} )}{ln ( \frac{1.05}{1.035} )}

15.50820 \dots

Solution steps

- \frac{ln ( \frac{4}{5} )}{ln ( \frac{1.05}{1.035} )}

Divide the numbers:

\frac{1.05}{1.035} = 1.01449 \dots

= - \frac{ln ( \frac{4}{5} )}{ln ( 1.01449 \dots )}

Convert element to a decimal form

\frac{4}{5} = 0.8

= - \frac{ln ( 0.8 )}{ln ( 1.01449 \dots )}

Simplify

ln (1.01449 \dots) : 0.01438 \dots

= - \frac{ln ( 0.8 )}{0.01438 \dots}

Simplify

ln (0.8) : - 0.22314 \dots

= - \frac{- 0.22314 \dots}{0.01438 \dots}

Simplify

= 15.50820 \dots

\frac{w ^{2}}{2} - w = \frac{3}{4}

b^{2} - 8 b - 20 = 0

4 x^{2} = 64

8 y (2 y + 7)^{4} - 2 y^{3} (2 y + 7)^{9}

What is simplify-(ln(4/5))/(ln(\frac{1.05){1.035})} ?
The solution to simplify-(ln(4/5))/(ln(\frac{1.05){1.035})} is 15.50820…