Given:
The given expression is:

To find:
The single logarithm expression for the given expression.
Solution:
Quotient property of logarithm:

We have,

Using quotient property of logarithm, we get


Therefore, the required expression is
.
Answer:
Step-by-step explanation:
According to the diagram MK is the angle bisector of ∠LMJ in the triangle LMJ.
Use angle bisector theorem, which states:
- <em>an angle bisector of an angle of a triangle divides the opposite side into two parts that are proportional to the other two sides of the triangle.</em>
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Applied to the given triangle, the ratios are:
Use segment addition postulate and substitute known values to get:
- (LJ - JK)/JK = LM/JM
- (14 - JK)/JK = 50/48
- 50JK = 48(14 - JK)
- 50JK = 672 - 48JK
- 50JK + 48JK = 672
- 98JK = 672
- JK = 672/98
- JK = 6.86 (rounded)
6÷2(1+2) = 6÷2*(1+2) = 6÷2*3 = 3*3 = 9.
Answer: It looks like this expression is 16+2 times 36, so the answer is 18 times 36 also 88, they are both equivalent