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marishachu [46]
3 years ago
13

How do you simplify logarithms? Show example

Mathematics
1 answer:
GenaCL600 [577]3 years ago
5 0
<span>lo<span>g2</span>(8)=lo<span>g2</span>(<span>23</span>)=3</span><span>lo<span>g2</span>(4)=lo<span>g2</span>(<span>22</span>)=2</span> <span><span>⟹lo<span>g2</span>(8)+lo<span>g2</span>(4)=3+2=5</span></span>
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Which equation is correct
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I would assume $10 is the cost of the booth and 5 is how much she earns for each T-Shirt, so the equation would be 5x-10=65. Assume $65 is what she earned.

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8 0
3 years ago
The 12th term of a sequence is 41 and the 15th term is 140. What is the nth term?
OLga [1]
An= mth term.
an=a₁+(n-1)*d

a₁₂=41
a₁₅=140

a₁₂=41
41=a₁+(12-1)*d
41=a₁+11d 
a₁+11d=41    (1)

a₁₅=140
140=a₁+(15-1)*d
140=a₁+14d 
a₁+14d=140    (2)

With the equiations (1) and (2)  build a system of equations
a₁+11d=41
a₁+14d=140

we solve it.
-(a₁+11d=41)
  a₁+14d=140
--------------------
       3d=99  ⇒d=99/3=33

a₁+11d=41
a₁+(11*33)=41
a₁+363=41
a₁=41-363=-322

an=a₁+(n-1)*d
an=-322+(n-1)*33
an=-322+33n-33
an=-355+33n

an=-355+33n

To check:
a₁₂=-355+33*12=-355+396=41
a₁₅=-355+33*15=-355+495=140.
3 0
3 years ago
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