Mister Exam
Other calculators
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How to use it?
- Equation:
- Equation log2(56)-(1/2log2(49))=x
- Equation (x^2-16):(x^3+3x^2+16)=0
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Equation 16+6x=5(1-2x)-13
- Equation (x-3)/(x+5)+7=80/(x²-25)
- Express {x} in terms of y where:
- 5*x-5*y=20
- 8*x-7*y=-13
- 15*x-15*y=16
- 9*x+18*y=6
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Identical expressions
- log2(fifty-six)-(one /2log2(forty-nine))=x
- logarithm of 2(56) minus (1 divide by 2 logarithm of 2(49)) equally x
- logarithm of 2(fifty minus six) minus (one divide by 2 logarithm of 2(forty minus nine)) equally x
- log256-1/2log249=x
- log2(56)-(1 divide by 2log2(49))=x
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Similar expressions
- log2(56)+(1/2log2(49))=x
log2(56)-(1/2log2(49))=x equation
The teacher will be very surprised to see your correct solution 😉
The solution
You have entered
[src]
/log(49)\
|-------|
log(56) \ log(2)/
------- - --------- = x
log(2) 2
$$- \frac{\frac{1}{\log{\left(2 \right)}} \log{\left(49 \right)}}{2} + \frac{\log{\left(56 \right)}}{\log{\left(2 \right)}} = x$$
Detail solution
Given the linear equation:
Expand brackets in the left part
Move the summands with the unknown x
from the right part to the left part:
$$- x - \frac{\log{\left(49 \right)}}{2 \log{\left(2 \right)}} + \frac{\log{\left(56 \right)}}{\log{\left(2 \right)}} = 0$$
Divide both parts of the equation by (-x + log(56)/log(2) - log(49)/(2*log(2)))/x
We get the answer: x = 3
(log(56)/log(2))-(1/2*(log(49)/log(2))) = x
Expand brackets in the left part
log+56log2)-1/2*-log-49log2)) = x
Move the summands with the unknown x
from the right part to the left part:
$$- x - \frac{\log{\left(49 \right)}}{2 \log{\left(2 \right)}} + \frac{\log{\left(56 \right)}}{\log{\left(2 \right)}} = 0$$
Divide both parts of the equation by (-x + log(56)/log(2) - log(49)/(2*log(2)))/x
x = 0 / ((-x + log(56)/log(2) - log(49)/(2*log(2)))/x)
We get the answer: x = 3