solve 2^(3x+1)=16

The first step is to make sure that everything has the same base, so you can equate the powers. For example if you have an equation 22 = 2x you know that x must equal 2. So with this question you can rewrite 16 as 2^4, and then equate the powers. So you get the new equation: 3x+1 = 4, then just rearrange to get x. So 3x = 4-1 so 3x=3 then divide both sides by 3 to get x=1.So the general way to solve questions like this is to: 1. change the bases so they are all the same 2. equate the powers

JP

Related Maths GCSE answers

All answers ▸

Solve the following simultaneous equations: x^2 + y^2 = 5, y - 3x = 1.


f(x) = 3x - 2a || g(x) = 2ax + 1 || fg(x) = 2x + b/2


A linear sequence starts, a + 2b, a + 6b, a + 10b …….. …….. The 2nd term has value 8. The 5th term has value 44. Work out the values of a and b


Expand and simplify (x − 4)(2x + 3y)^2