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Popular >

simplify ln(2)+0.9*ln(2.25)

Solution

simplify

ln (2) + 0.9 \cdot ln (2.25)

Solution

ln (4.14948 \dots)

+1

Decimal Notation

1.42298 \dots

Solution steps

ln (2) + 0.9 ln (2.25)

Apply log rule:

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

0.9 ln (2.25) = ln (2.2 5^{0.9})

= ln (2) + ln (2.2 5^{0.9})

Apply log rule:

lo g_{c} (a) + lo g_{c} (b) = lo g_{c} (ab)

ln (2) + ln (2.2 5^{0.9}) = ln (2 \cdot 2.2 5^{0.9})

= ln (2 \cdot 2.2 5^{0.9})

2 \cdot 2.2 5^{0.9} = 4.14948 \dots

= ln (4.14948 \dots)

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Frequently Asked Questions (FAQ)

What is ln(2)+0.9*ln(2.25) ?
The solution to ln(2)+0.9*ln(2.25) is ln(4.14948…)