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Popular >

join 5/2 ln(150)

Solution

join

\frac{5}{2} ln (150)

Solution

ln (1125006)

+1

Decimal Notation

12.52658 \dots

Solution steps

\frac{5}{2} ln (150)

Apply log rule:

a lo g_{c} (b) = lo g_{c} (b^{a})

\frac{5}{2} ln (150) = ln (15 0^{\frac{5}{2}})

= ln (15 0^{\frac{5}{2}})

15 0^{\frac{5}{2}} = 5^{5} \cdot 6^{2} 6

= ln (5^{5} \cdot 6^{2} 6)

5^{5} = 3125

= ln (6^{2} \cdot 31256)

6^{2} = 36

= ln (3125 \cdot 366)

Multiply the numbers:

3125 \cdot 36 = 112500

= ln (1125006)

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Frequently Asked Questions (FAQ)

What is join 5/2 ln(150) ?
The solution to join 5/2 ln(150) is ln(112500sqrt(6))