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AysviL [449]
3 years ago
10

Fill in the steps to solve the log log base x of (2x)^3=6​

Mathematics
1 answer:
arsen [322]3 years ago
6 0

Answer:

x=2

Step-by-step explanation:

logx (2x)^3 = 6

We can rewrite without the exponent

3 logx (2x) = 6

Divide by 3

3/3 logx (2x) = 6/3

logx (2x) = 2

Raise each side to the base x

x^ logx (2x) =x^ 2

2x = x^2

Subtract 2x from each side

2x-2x = x^2 -2x

0 = x^2 -2x

Factor an x

0 = x(x-2)

Using the zero product property

x =0 x-2 =0

x =0  x=2

We cannot have a base of 0, so x cannot equal 0

x=2

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Read 2 more answers
the length of a rectangular label is 2.5 cm less than twice the width. the perimeter is 40.6 cm. find the width.
Aleksandr [31]
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40.6 = 2(2w - 2.5 + w) = 2(3w - 2.5)
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3 0
3 years ago
I need help I have this problem and I think it either has to be simplified or turned into a fraction but I’m really sure it’s si
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