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3 years ago

What is 3/4 minus 1/5

Mathematics

2 answers:

Crazy boy [7]3 years ago

6 0

3/4 - 1/5
0.75 - 0.2
0.55

Answer: 0.55 or 11/20

sveticcg [70]3 years ago

3 0

You can always convert this to decimal form which I prefer:
3/4 = .75
1/5 = .2
.75 - .2= 0.55
or in fraction form
11/20
I hope this helps

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Solve 4^x-5 = 6 for x using the change of base formula log base b of y equals log y over log b

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Answer:

$4^x-5=6$ gives the solution $x=\frac{\log(11)}{\log(4)}$ .

$4^{x-5}=6$ gives the solution $x=\frac{\log(6)}{\log(4)}+5$ .

Step-by-step explanation:

I will solve both interpretations.

If we assume the equation is $4^{x}-5=6$ , then the following is the process:

$4^x-5=6$

Add 5 on both sides:

$4^x=6+5$

Simplify:

$4^x=11$

Now write an equivalent logarithm form:

$\log_4(11)=x$

$x=\log_4(11)$

Now using the change of base:

$x=\frac{\log(11)}{\log(4)}$ .

If we assume the equation is $4^{x-5}=6$ , then we use the following process:

$4^{x-5}=6$

Write an equivalent logarithm form:

$\log_4(6)=x-5$

$x-5=\log_4(6)$

Add 5 on both sides:

$x=\log_4(6)+5$

Use change of base formula:

$x=\frac{\log(6)}{\log(4)}+5$

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