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Popular >

simplify ln(4)+ln(8)

Solution

simplify

ln (4) + ln (8)

Solution

5 ln (2)

+1

Decimal Notation

3.46573 \dots

Solution steps

ln (4) + ln (8)

Apply log rule:

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

ln (4) + ln (8) = ln (4 \cdot 8)

= ln (4 \cdot 8)

Multiply the numbers:

4 \cdot 8 = 32

= ln (32)

Rewrite

32

in power-base form:

32 = 2^{5}

= ln (2^{5})

Apply log rule:

lo g_{a} (x^{b}) = b \cdot lo g_{a} (x)

ln (2^{5}) = 5 ln (2)

= 5 ln (2)

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Frequently Asked Questions (FAQ)

What is ln(4)+ln(8) ?
The solution to ln(4)+ln(8) is 5ln(2)