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3 years ago

The sum of 10 and one third of a number is equal to 13. What is the number?

Mathematics

1 answer:

Arisa [49]3 years ago

6 0

10 + 1/3x= 13

1/3x=3

divide 1/3 on each side to cancel it out

3/ 1/3= 3 times 3 which equals= 9

the number is 9

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3 years ago

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

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Answer:

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

Step-by-step explanation:

Let's start by using change of base property:

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

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Using reduction of power property:

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Therefore:

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

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So:

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

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