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: 93x+1=3y

To find x we need to get the left hand side of the equation to be 3m(3x+1) where 3m=9.

I know that 32=9 (but if you don't you can use m=log3(9)=2)

This gets us: 32(3x+1)=3y

Therefore: 2(3x+1)=y

Finally y=6x+2 so a=6 and b=2

JG

Related Maths A Level answers

All answers ▸

The equation 5x sqaured + px + q , where p and q are constants, has roots α and α + 4. (a) Show that p squared = 20q +400.


(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?


Edexcel January 2007 - Question 4 (Rates and Differential Equations)


What are the first 4 non-zero terms in the binomial expansion of (2+3x)^6