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babymother [125]
3 years ago
11

How to write a logarithm divided by a logarithm as a single logarithm?

Mathematics
1 answer:
harina [27]3 years ago
8 0
\frac{log(x)}{log(y)} =  log_{y}(x)

This is known as the "change of base" formula. The ratio is equivalent to the log of the numerator argument to the base of the denominator argument.
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Moden is short for?​
son4ous [18]

Answer:

Modulator Demodulator

Step-by-step explanation:

5 0
3 years ago
(?,5) is on the line 4x-7y=1. Find the other half of the coordinate.
ludmilkaskok [199]
The coordinate is an ordered pair (x,y). We have a number, 5, for y, which we can substitute (plug-in) for y in the equation of the line and solve for x.

4x-7y=1\\4x-7(5)=1\\4x=36\\x=9

(9,5)
8 0
3 years ago
What would be the next number after 5;12:21:32..
pantera1 [17]
Your answer would be 45... do u want me to explain?
5 0
3 years ago
The time t required to travel a fixed distance varies inversely as the speed r. it takes 5h to drive the fixed distance at a spe
Pavel [41]
Let t be time and r be rate, then if time varies inversely with the rate, the equation is t= \frac{k}{r}.  If it takes 5 hours to drive a fixed distance at a rate of 80, we can sub those values in to solve for the constant of variation, k.5= \frac{k}{80}.  Solve for k by multiplying 5 and 80 to get that k = 400.  Now let's find a new time t when r is a rate of 70.  We will use that k value to do this: t= \frac{400}{70} and find that it will take 20 hours to drive the distance at 70 mph when it takes 5 hours to drive the distance at 80 mph.  Makes sense that it takes longer to drive a fixed distance when you are going slower.

7 0
4 years ago
You need a 65% alcohol solution. On hand, you have a 50 mL of a 30% alcohol mixture. You also have 70% alcohol mixture. How much
DIA [1.3K]

Answer:

  350 mL

Step-by-step explanation:

Let q represent the quantity (in mL) needed of the 70% solution. Then the total amount of mixture will be q+50 milliliters. The total amount of alcohol in the mixture will be ...

  0.70q +0.30(50) = 0.65(50 +q)

  .05q = 17.5 . . . . . . subtract (0.65q +1.50)

  q = 350 . . . . . . . . . divide by 0.05

You will need 350 mL of the 70% solution.

5 0
3 years ago
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