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find the exact solution to the following equation: ln(x) + ln(3) = ln(6)

My first step would be to put all the known values on one side: ln(x) = ln(6) - ln(3) Then, using log laws, we have: ln(x) = ln(6/3) so, ln(x) = ln(2) so, x = 2
RC
Answered by Rhianna C. • Maths tutor
9608 Views

Show that cosec(2x) + cot(2x) = cot(x)

cosec(2x) + cot(2x) CONVERT ALL COSEC/COT/SEC FUNCTIONS INTO FUNCTIONS USING SIN/TAN/COS = 1 / (sin2x) + cos(2x) / sin(2x) COMBINE THE TWO FRACTIONS INTO ONE = [1+cos(2x)] / [sin(2x)] USE COS AND SIN DOUBLE ...
DK
Answered by Divya K. • Maths tutor
73533 Views

Integrate the following between 0 and 1: (x + 2)^3 dx

Initially, we must recognise the simplest way to integrate this equation is using the 'reverse chain rule' method. This means raising the value of the power, in this case '3', by one, and then dividing by th...
WE
Answered by Will E. • Maths tutor
3831 Views

Differentiate the following: 4x^3 + sin(x^2)

dy/dx = (4 * 3)x (3-1) + 2x (2-1) *cos(x 2 ) = 12x 2 + 2xcos(x 2 )
MB
Answered by Maisy B. • Maths tutor
4718 Views

The line AB has equation 5x+3y+3=0. It is parallel to a line with equation y=mx+7. What is m?

If the lines are parallel then when the line AB is given in the form y=mx+c then the gradient m of AB is equal to that of the other line. Rearranging the equation for line AB gives y=-(5/3)x-1 so m=-(5/3)
MT
Answered by Mina T. • Maths tutor
4886 Views