Mister Exam
Other calculators
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How to use it?
- Equation:
-
Equation -x^2+6*x-7=0
-
Equation -x^3+4*x^2+4*x-16=0
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Equation x/7=6
-
Equation 2x-cosx=0
- Express {x} in terms of y where:
- 13*x-12*y=10
- -12*x-19*y=16
- 4*x-7*y=11
- 18*x-11*y=13
-
Identical expressions
- seventy =20lg(x)
- 70 equally 20lg(x)
- seventy equally 20lg(x)
- 70=20lgx
70=20lg(x) equation
The teacher will be very surprised to see your correct solution 😉
The solution
Detail solution
Given the equation
$$70 = 20 \log{\left(x \right)}$$
Transfer the right side of the equation left part with negative sign
$$- 20 \log{\left(x \right)} = -70$$
Let's divide both parts of the equation by the multiplier of log =-20
$$\log{\left(x \right)} = \frac{7}{2}$$
This equation is of the form:
By definition log
then
$$x = e^{- \frac{70}{-20}}$$
simplify
$$x = e^{\frac{7}{2}}$$
$$70 = 20 \log{\left(x \right)}$$
Transfer the right side of the equation left part with negative sign
$$- 20 \log{\left(x \right)} = -70$$
Let's divide both parts of the equation by the multiplier of log =-20
$$\log{\left(x \right)} = \frac{7}{2}$$
This equation is of the form:
log(v)=p
By definition log
v=e^p
then
$$x = e^{- \frac{70}{-20}}$$
simplify
$$x = e^{\frac{7}{2}}$$
Sum and product of roots
[src]
sum
7/2 e
$$e^{\frac{7}{2}}$$
=
7/2 e
$$e^{\frac{7}{2}}$$
product
7/2 e
$$e^{\frac{7}{2}}$$
=
7/2 e
$$e^{\frac{7}{2}}$$
exp(7/2)