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konstantin123 [22]
3 years ago
10

What is 4log 1/2w+(2log 1/2u-3log 1/2v) written as a single logarithm

Mathematics
2 answers:
LekaFEV [45]3 years ago
7 0

Answer:

B. on edge  =    log1/2 w^4(u^2/v^3)

I gotchu bois

notka56 [123]3 years ago
4 0

The given expression is

4log_{1/2}w+(2 log_{1/2}u-3log_{1/2}v)

First we use the following rule

a \ log_{b} c = log _{b} c^a

And on using this rule, we will get

log_{1/2} w^4 + ( log_{1/2}u^2-log_{1/2}v^3 )

Now we use the following two rules

log a + log b = log(ab)
\\
log a- log b =log( \frac{a}{b} )

And on using these two rules, we will get

=log_{1/2}w^4 + log_{1/2} ( \frac{u^2}{v^3})
\\
= log_{1/2} (\frac{ w^4 u^2}{v^3} )

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