What is 138/8 (ln(68)-ln(4)) ?

The solution to 138/8 (ln(68)-ln(4)) is (69ln(17))/4

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simplify 138/8 (ln(68)-ln(4))

simplify

\frac{138}{8} (ln (68) - ln (4))

\frac{69 ln ( 17 )}{4}

Solution steps

\frac{138}{8} (ln (68) - ln (4))

Apply log rule:

lo g_{c} (a) - lo g_{c} (b) = lo g_{c} (\frac{a}{b})

ln (68) - ln (4) = ln (\frac{68}{4})

= \frac{138}{8} ln (\frac{68}{4})

Divide the numbers:

\frac{68}{4} = 17

= \frac{138}{8} ln (17)

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{138 ln ( 17 )}{8}

Cancel the common factor:

2

= \frac{69 ln ( 17 )}{4}

ln (3) + ln (x + 1) + (- 1)

ln (C e^{- \frac{3 t}{125}})

ln (50) - ln (180)

- 1.25 ln (\frac{50}{100})

24 lo g_{2} (x) + 6 lo g_{2} (y)

What is 138/8 (ln(68)-ln(4)) ?
The solution to 138/8 (ln(68)-ln(4)) is (69ln(17))/4