2 years ago

( 8 x 10^-3 ) * (0.0002) = ? In scientific notation please

Mathematics

1 answer:

Juliette [100K]2 years ago

3 0

1.6 × 10 to the negative sixth power "10 -6".

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If log2 5 = k, determine an expression for log32 5 in terms of k.

lukranit [14]

Answer:

$log_3_2(5)=\frac{1}{5} k$

Step-by-step explanation:

Let's start by using change of base property:

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

So, for $log_2(5)$

$log_2(5)=k=\frac{log(5)}{log(2)}\hspace{10}(1)$

Now, using change of base for $log_3_2(5)$

$log_3_2(5)=\frac{log(5)}{log(32)}$

You can express $32$ as:

$2^5$

Using reduction of power property:

$log_z(x^y)=ylog_z(x)$

$log(32)=log(2^5)=5log(2)$

Therefore:

$log_3_2(5)=\frac{log(5)}{5*log(2)}=\frac{1}{5} \frac{log(5)}{log(2)}\hspace{10}(2)$

As you can see the only difference between (1) and (2) is the coefficient $\frac{1}{5}$ :

So:

$\frac{log(5)}{log(2)} =k\\$

$log_3_2(5)=\frac{1}{5} \frac{log(5)}{log(2)} =\frac{1}{5} k$

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Two make ice cream for a family reunion frank used 6 cups of cream 1/2 gallon of gallon of milk. How many pints of cream and mil

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He used 7 pints all together because there at 2 cups in each pint and 4 pints in a half a gallon.

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3). AFTER PAYING HER BILLS CAROL HAS -$45 IN HER CHECKING

bazaltina [42]

-45 + 150 = 105

Carol has $105 in her account after receiving her paycheck.

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Need help thank you mark brainliest

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