Express 9^(3x + 1) in the form 3^y , giving y in the form ax + b, where a and b are constants.
9^ (3x + 1)
We know that 3 to power of 2 equals 9. 3x3 = 3^2 = 9,
= 3^ (2 * [3x + 1])
We simply the term because 2 * [3x + 1] = 6x + 2
= 3^ ( 6x + 2)
This term is in the form of 3^ y, so we know that y = 6x + 2 by comparing like terms.
y = 6x + 2 a = 6, b = 2
WL
Related Maths A Level answers
All answers ▸How do you find a turning point of a function using differentiation?
Why is the integral of a function the area?
Given a fixed parabola and a family of parallel lines with given fixed gradient, find the one line that intersects the parabola in one single point
A man travels 360m along a straight road. He walks for the first 120m at 1.5ms-1, runs the next 180m at 4.5ms-1, and then walks the final 60m at 1.5ms-1. A women travels the same route, in the same time. At what time does the man overtake the women?