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Express 9^(3x+)1 in the form 3^y giving y in the form of ax+b where a and b are constants.

Fistly show that: 9 3 x +1 =3 y To find x we need to get the left hand side of the equation to be 3 m (3 x +1) where 3 m =9. I know that 3 2 =9 (but if you don't you can use m=log 3 (9)=2) This gets us: 3 2(...
JG
Answered by Judy G. • Maths tutor
6122 Views

What is the Product Rule?

The product rule is used when differentiating two functions that are multiplied by eachother. The formula for the product rule is: U (dv/dx) + V (du/dx) where 'dv/dx' is the differential of the function, V. ...
AW
Answered by Abbie W. • Maths tutor
4128 Views

How do I use Pythagoras?

Pythagoras theorum is used to identify the lengths of any side on a right angle triangle. The theorem is as follows: a 2 + b 2 = c 2 We assume that the hypotenuse (side opposite the right angle) is C. Theref...
AW
Answered by Abbie W. • Maths tutor
3763 Views

A book was reduced by 35% in a sale. It's new price is £16. What was the original price ?

Begin by looking at the percentage reduction: 100% - 35% = 65% Therefore, 65% = £16 (as this was the price it was reduced to) 1% = £16 ÷ 65 = 0.2462 So to find the original price it would be 100%; and so you...
DW
Answered by David W. • Maths tutor
7733 Views

How do I solve simultaneous equations?

When given two simultaneous equations, the first step is to make the factor of one letter equal in both equations. For example, in the example below, we will try to make both equations contain '2b': 6a + b =...
LB
Answered by Lois B. • Maths tutor
3905 Views