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rewona [7]
2 years ago
9

Could you please help me plzz I want to past my exam plzzzz

Mathematics
1 answer:
lorasvet [3.4K]2 years ago
3 0
Pretty sure it’s D but if it is not then I don’t know
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Help ASAP show work please thanksss!!!!
Llana [10]

Answer:

\displaystyle log_\frac{1}{2}(64)=-6

Step-by-step explanation:

<u>Properties of Logarithms</u>

We'll recall below the basic properties of logarithms:

log_b(1) = 0

Logarithm of the base:

log_b(b) = 1

Product rule:

log_b(xy) = log_b(x) + log_b(y)

Division rule:

\displaystyle log_b(\frac{x}{y}) = log_b(x) - log_b(y)

Power rule:

log_b(x^n) = n\cdot log_b(x)

Change of base:

\displaystyle log_b(x) = \frac{ log_a(x)}{log_a(b)}

Simplifying logarithms often requires the application of one or more of the above properties.

Simplify

\displaystyle log_\frac{1}{2}(64)

Factoring 64=2^6.

\displaystyle log_\frac{1}{2}(64)=\displaystyle log_\frac{1}{2}(2^6)

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}(2)

Since

\displaystyle 2=(1/2)^{-1}

\displaystyle log_\frac{1}{2}(64)=6\cdot log_\frac{1}{2}((1/2)^{-1})

Applying the power rule:

\displaystyle log_\frac{1}{2}(64)=-6\cdot log_\frac{1}{2}(\frac{1}{2})

Applying the logarithm of the base:

\mathbf{\displaystyle log_\frac{1}{2}(64)=-6}

5 0
2 years ago
Roger has a nail that is 12 centimeters long. He measures and records the length of the nail as 15 centimeters. What is the perc
nasty-shy [4]
The percent error is 25%
5 0
2 years ago
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I need help please asap
LUCKY_DIMON [66]
4500  = 4.5 * 10^3

57 = 5.7 * 10^1

730 = 7.3 * 10^2

0.007 = 7 * 10^-3

300.25  = 3.0025 * 10^2

56,325.2 = 5.63252 * 10^4


3 0
2 years ago
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Which of the expressions below has a 4 in the ones place of the sum? Select all that apply.
lara [203]

Answer:

its C or D

Step-by-step explanation:

i think it's both !

8 0
3 years ago
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Pls somebody solve this I still don’t understand it yet :/ please
Fofino [41]

Answer:

first blank 39, second 9/39 i think, and third 351

Step-by-step explanation:

i haven't done something like this in a long time so i dont know if its completely correct or correct at all

8 0
2 years ago
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