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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
9638 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
73645 Views

5x+3=2x+9 What is the value of x?

To solve this question you need to rearrange the equation to obtain an expression in the form ax=. Make sure that whatever you do the one side of the = sign, you must also do to the other side. Firstly, subt...
JC
Answered by Jake C. • Maths tutor
14333 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
3861 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
4745 Views