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cluponka [151]
3 years ago
12

Rewrite log[(ac^3/b)]using the properties of logarithms

Mathematics
1 answer:
stellarik [79]3 years ago
6 0

Answer:

1st option

Step-by-step explanation:

log( \frac{a {c}^{3} }{b} ) \\ = log(a {c}^{3}) - logb \\  = loga + log{c}^{3}  - logb \\  = loga + 3logc - logb

note that the cube is only for c not a

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Please help me i rlly need help
Mumz [18]

Answer:

3

Step-by-step explanation:

Given a line with points; (2, 5) (3, 8).

1. Find the slope of the given line

The formula for finding the slope is:

\frac{y_{2}-y_{1} }{x_{2} - x_{1}}

Substitute in the values;

x_{1} = 2\\y_{1} = 5\\x_{2} = 3\\y_{2} = 8

\frac{8-5}{3-2}

simplify;

\frac{3}{1}

= 3

2. Find the slope of the parallel line;

Remember, when two lines are parallel, they run alongside each other, of infinitely long, but they never touch. Hence two parallel lines have the same slope. Therefore, the slope of a line that is parallel to the given one will also have the same slope as the given one, which is 3.

5 0
3 years ago
Solve using elimination.<br><br> –9x − 7y = –10<br> 9x + 8y = 5
guapka [62]

Answer:

x=4y

Step-by-step explanation:

mathpapa

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Answer:nice!

Step-by-step explanation:

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3 years ago
Madeline's credit card had an APR of 18.96% all of last year, and interest was compounded periodically throughout the year. Whic
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Step-by-step explanation:

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I am not sure how to slove
notsponge [240]

First .... the limit of the given function is NOT EQUAL to 5 (it diverges so it has no limit).  There is a typo.  The 14 should be positive.

\lim_{x \to\ 7} \bigg(\dfrac{x^2-9x+14}{x-7}\bigg)=5

The precise definition of a limit is:

\text{If for every } \epsilon>0\text{ there exists a }\delta >0\text{ such that}\\|f(x)-L|

Given:

f(x) = \dfrac{x^2-9x+14}{x-7}\\\\L=5\\\\a=7\\\\\\|f(x)-L|

⇒ \epsilon = \delta

When ε = 0.1,     δ = 0.1

When ε = 0.01,   δ = 0.01

5 0
3 years ago
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