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nasty-shy [4]
3 years ago
11

27/96 reduce to the lowest terms

Mathematics
1 answer:
velikii [3]3 years ago
4 0

\frac{27}{96}=\frac{9}{32}

by 3




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Answer:  1) Product property of logarithm,

2) Subtraction property of logarithm

3) Equality property of logarithm

Step-by-step explanation:

By the Product property of logarithm,

log a + log b = log(a.b)

And, By the Subtraction property of logarithm

log a - log b = log(a/b)

Also, by the equality property of logarithm,

log(a) = log(b) ⇒ a = b

Given expression,

log_2(5)+log_2(x+2)-log_2(x+1)=log_2(7)                                                                

\implies log_2(5(x+2))-log_2(x+1))=log_2(7)  (Product property of logarithm)

\implies log_2(\frac{5(x+2)}{2(x+1)})=log_2(7)  (Subtraction property of logarithm)

\implies \frac{5(x+2)}{2(x+1)}=7   ( Equality property of logarithm )

\implies 5(x+2)=7(x+1)    ( Multiplicative property of equality )

\implies 5x+10=7x+7  ( Distributive property of equality )

\implies 3=2x    (subtraction property of equality )

x=\frac{3}{2}       (division property of equality )

3 0
3 years ago
Read 2 more answers
Divide 3 over 4 ÷ 1 over 8 = ____.
hammer [34]
When you divide two fractions, you actually just flip one over (it's reciprocal) and multiply them.

\frac{3}{4} ÷ \frac{1}{8}   Use the recriprocal of \frac{1}{8} 
<span>\frac{3}{4} ÷ \frac{8}{1}   Multiply (3 x 8) and (4 x 1)
</span>
\frac{24}{4}       Divide

6


<span>\frac{3}{4} ÷ \frac{1}{8} = 6</span>
8 0
3 years ago
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