Mathematics: Write the expression 2 in3 + in8 as a single natural logarithm.

Write the expression 2 in3 + in8 as a single natural

admierewebb

18.03.2022

$2\ln 3+\ln 8=\ln 72$

Step-by-step explanation:

Logarithms

Some properties of the logarithms are:

$\ln xy = \ln x+\ln y$

$\ln x^n=n\ln x$

We have:

$2\ln 3+\ln 8$

Applying the exponent property:

$2\ln 3+\ln 8=\ln 3^2+\ln 8=\ln 9+\ln 8$

Applying the product property:

$2\ln 3+\ln 8=\ln (9*8)=\ln 72$

$\boxed{2\ln 3+\ln 8=\ln 72}$

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M1CK3Y

17.06.2021

Option C:

Length of PR can be found.

Solution:

Given data:

Length of r = 9.5

Length of p = 6.0

Measure of ∠Q = 18°

To find which length could be find in the triangle:

Using Law of cosines:

Substitute a = q, b = r, c = p and A = Q

Length of PR = q

Hence we can find the value of PR using law of cosines.

Option C is the correct answer.

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