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2 years ago

Five roses cost $25 how many Roses can you purchase for $75

Mathematics

1 answer:

Radda [10]2 years ago

8 0

Answer: 15

Step-by-step explanation: 5 roses are 25 dollars so what your going to do is multiply 5 by 3 to get 15 do the same with 25, 25 x 3 is 75 so you will get 15 roses for 75 dollars

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Use the following steps to prove that log b(xy)- log bx+ log by.

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Answer with Step-by-step explanation:

a. $x=b^p$

$y=b^q$

Taking both sides log

$log x=plog b$

Using identity: $logx^y=ylogx$

$p=\frac{logx}{log b}=log_b x$

Using identity: $log_x y=\frac{log y}{log x}$

$log y=qlog b$

$q=\frac{log y}{log b}=log_b y$

b. $xy=b^pb^q$

We know that

$x^a\cdot x^b=x^{a+b}$

Using identity

$xy=b^{p+q}$

c. $log_b(xy)=log_b(b^{p+q})$

$log_b(xy)=(p+q)log_b b$

Substitute the values then we get

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

By using $log_b b=1$

Hence, $log_b(xy)=log_b x+log_b y$

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