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Solve the equation 3^(5x-2)=4^(6-x), and show that the solution can be written in the form log10(a)/log10(b).

So we have the equation initially in the form 3^(5x-2)=4^(6-x), and as the solution involves log10, then a sensible first move would be to take log10 of both sides, giving log10(3^(5x-2)) = log10(4^(6...

Answered by Eloise B. • Maths tutor

5818 Views

Prove that (sinx + cosx)^2 = 1 + 2sinxcosx

Starting on the left hand side we can expand out the brackets to get:
(sinx + cosx)(sinx + cosx)
sin²x+sinxcosx+sinxcosx+cos²x
Grouping together the like terms we can ...

Answered by Adam G. • Maths tutor

10221 Views

Two cars are moving parallel to each other on a road. The first car is moving at a speed of 11 m/s, while the second car is moving at 17 m/s, what is the speed of the second car, relative to the first car.

The relative speed of the second car, with respect to the first car is 6 m/s. This is because they are both travelling in the same direction, but the second car is moving 6 m/s faster. That means, if we w...

Answered by Adam G. • Physics tutor

2715 Views

Assess the Marxist view of the role of education.

The view of the role of education put forward by Marxism is that, education serves to further and strengthen the capitalist agenda to create a workforce. This means that children are taught values of s...

Answered by Charlie H. • Sociology tutor

8492 Views

'A good God would not allow the existence of evil in the world' Discuss.

Within Theology it has often been the case that the existence of evil has been used to doubt the morality of God. This need not be the case, however. One of the cases put forward for why a good God can...

Answered by Charlie H. • Religious Studies tutor

2951 Views