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2 years ago

Or Simplify. Express your answer as a single term using exponents. 3039x3039

Mathematics

1 answer:

dmitriy555 [2]2 years ago

6 0

${303}^{9} \times {303}^{9} \\ = {303}^{9 + 9} \\ = {303}^{18}$

Answer:

${303}^{18}$

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Each of 7 students reported the number of movies they saw in the past year. Here is what they reported.

rusak2 [61]

Answer:

Step-by-step explanation:

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2 years ago

Read 2 more answers

Help ASAP show work please thanksss!!!!

Llana [10]

Answer:

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

Step-by-step explanation:

Properties of Logarithms

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:

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

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2 years ago

A tree 63 ft high casts a 38 ft shadow. How tall is a tree that casts a 52 ft shadow at the same time of the day? (to the neares

Mrac [35]

52/38 = 1.368

1.368 x 63 = 86.21

tree is 86.2 feet high

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3 years ago

Composite function is the result of using one function as the input for another function.

ipn [44]

Answer:

True

Step-by-step explanation:

That is the definition of composite function

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2 years ago

Maggie's brother is 7 years younger than four times her age. The sum of their ages is 53. How old is Maggie?

yawa3891 [41]

4x-7=53

4x-7+7=53+7

4x=60

x=60 divided by 4

x=15

6 0

2 years ago

Or Simplify. Express your answer as a single term using exponents. 303*9x303*9

Or Simplify. Express your answer as a single term using exponents. 3039x3039